105296440715136 has 384 divisors, whose sum is σ = 336844978704000. Its totient is φ = 31300288081920.

The previous prime is 105296440715111. The next prime is 105296440715159. The reversal of 105296440715136 is 631517044692501.

105296440715136 is a `hidden beast` number, since 1 + 0 + 5 + 2 + 96 + 4 + 407 + 15 + 136 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×105296440715136² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5009573235 + ... + 5009594253.

It is an arithmetic number, because the mean of its divisors is an integer number (877200465375).

Almost surely, 2^{105296440715136} is an apocalyptic number.

105296440715136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105296440715136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168422489352000).

105296440715136 is an abundant number, since it is smaller than the sum of its proper divisors (231548537988864).

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

105296440715136 is a wasteful number, since it uses less digits than its factorization.

105296440715136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28562 (or 28547 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 105296440715136 in words is "one hundred five trillion, two hundred ninety-six billion, four hundred forty million, seven hundred fifteen thousand, one hundred thirty-six".