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107061203088 = 2434721685897
BaseRepresentation
bin110001110110101011…
…0000101000010010000
3101020100021112121220000
41203231112011002100
53223230131444323
6121103325050000
710510035132300
oct1435526050220
9336307477800
10107061203088
114144a292534
12188ba6b6900
13a1326c4118
145278b8d600
152bb90e2e43
hex18ed585090

107061203088 has 150 divisors (see below), whose sum is σ = 360456793686. Its totient is φ = 30588897024.

The previous prime is 107061203083. The next prime is 107061203101. The reversal of 107061203088 is 880302160701.

107061203088 is a `hidden beast` number, since 1 + 0 + 7 + 0 + 612 + 0 + 30 + 8 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 75587604624 + 31473598464 = 274932^2 + 177408^2 .

It is a super-2 number, since 2×1070612030882 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (107061203083) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 779445 + ... + 906452.

Almost surely, 2107061203088 is an apocalyptic number.

107061203088 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

107061203088 is an abundant number, since it is smaller than the sum of its proper divisors (253395590598).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

107061203088 is a wasteful number, since it uses less digits than its factorization.

107061203088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1685931 (or 1685909 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

Adding to 107061203088 its reverse (880302160701), we get a palindrome (987363363789).

The spelling of 107061203088 in words is "one hundred seven billion, sixty-one million, two hundred three thousand, eighty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 49 54 56 63 72 81 84 98 108 112 126 144 147 162 168 189 196 216 252 294 324 336 378 392 432 441 504 567 588 648 756 784 882 1008 1134 1176 1296 1323 1512 1764 2268 2352 2646 3024 3528 3969 4536 5292 7056 7938 9072 10584 15876 21168 31752 63504 1685897 3371794 5057691 6743588 10115382 11801279 13487176 15173073 20230764 23602558 26974352 30346146 35403837 40461528 45519219 47205116 60692292 70807674 80923056 82608953 91038438 94410232 106211511 121384584 136557657 141615348 165217906 182076876 188820464 212423022 242769168 247826859 273115314 283230696 318634533 330435812 364153752 424846044 495653718 546230628 566461392 637269066 660871624 728307504 743480577 849692088 955903599 991307436 1092461256 1274538132 1321743248 1486961154 1699384176 1911807198 1982614872 2184922512 2230441731 2549076264 2973922308 3823614396 3965229744 4460883462 5098152528 5947844616 6691325193 7647228792 8921766924 11895689232 13382650386 15294457584 17843533848 26765300772 35687067696 53530601544 107061203088