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107167108340 = 2257383884363
BaseRepresentation
bin110001111001110101…
…0000100110011110100
3101020121122211011120202
41203303222010303310
53223434234431330
6121122031020032
710512462251045
oct1436352046364
9336548734522
10107167108340
11414a4047736
121892a06a618
13a14b624756
145288c7a8cc
152bc3562445
hex18f3a84cf4

107167108340 has 48 divisors (see below), whose sum is σ = 230882678208. Its totient is φ = 41770185984.

The previous prime is 107167108309. The next prime is 107167108361. The reversal of 107167108340 is 43801761701.

It is a happy number.

It is a super-2 number, since 2×1071671083402 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 107167108294 and 107167108303.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 321002 + ... + 563361.

It is an arithmetic number, because the mean of its divisors is an integer number (4810055796).

Almost surely, 2107167108340 is an apocalyptic number.

107167108340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

107167108340 is an abundant number, since it is smaller than the sum of its proper divisors (123715569868).

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

107167108340 is a wasteful number, since it uses less digits than its factorization.

107167108340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 884528 (or 884526 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 38.

The spelling of 107167108340 in words is "one hundred seven billion, one hundred sixty-seven million, one hundred eight thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 73 83 146 166 292 332 365 415 730 830 1460 1660 6059 12118 24236 30295 60590 121180 884363 1768726 3537452 4421815 8843630 17687260 64558499 73402129 129116998 146804258 258233996 293608516 322792495 367010645 645584990 734021290 1291169980 1468042580 5358355417 10716710834 21433421668 26791777085 53583554170 107167108340