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105118372392 = 23311735454461
BaseRepresentation
bin110000111100110001…
…0110001001000101000
3101001022212202121012120
41201321202301020220
53210240300404032
6120142443311240
710410634264665
oct1417142611050
9331285677176
10105118372392
1140642643030
1218457b1b520
139bb3045467
145132b36a6c
152b0377462c
hex18798b1228

105118372392 has 64 divisors (see below), whose sum is σ = 290613735360. Its totient is φ = 31417689600.

The previous prime is 105118372363. The next prime is 105118372397. The reversal of 105118372392 is 293273811501.

It is a super-2 number, since 2×1051183723922 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105118372397) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2707959 + ... + 2746502.

It is an arithmetic number, because the mean of its divisors is an integer number (4540839615).

Almost surely, 2105118372392 is an apocalyptic number.

105118372392 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

105118372392 is an abundant number, since it is smaller than the sum of its proper divisors (185495362968).

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

105118372392 is a wasteful number, since it uses less digits than its factorization.

105118372392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5454554 (or 5454550 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 42.

The spelling of 105118372392 in words is "one hundred five billion, one hundred eighteen million, three hundred seventy-two thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 73 88 132 146 219 264 292 438 584 803 876 1606 1752 2409 3212 4818 6424 9636 19272 5454461 10908922 16363383 21817844 32726766 43635688 59999071 65453532 119998142 130907064 179997213 239996284 359994426 398175653 479992568 719988852 796351306 1194526959 1439977704 1592702612 2389053918 3185405224 4379932183 4778107836 8759864366 9556215672 13139796549 17519728732 26279593098 35039457464 52559186196 105118372392