105696812736 has 224 divisors, whose sum is σ = 329671680000. Its totient is φ = 33113816064.

The previous prime is 105696812719. The next prime is 105696812743. The reversal of 105696812736 is 637218696501.

105696812736 is a `hidden beast` number, since 1 + 0 + 569 + 6 + 8 + 1 + 2 + 73 + 6 = 666.

It is a super-2 number, since 2×105696812736² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4156990 + ... + 4182338.

Almost surely, 2^105696812736 is an apocalyptic number.

105696812736 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 105696812736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164835840000).

105696812736 is an abundant number, since it is smaller than the sum of its proper divisors (223974867264).

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

105696812736 is a wasteful number, since it uses less digits than its factorization.

105696812736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25516 (or 25500 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 105696812736 in words is "one hundred five billion, six hundred ninety-six million, eight hundred twelve thousand, seven hundred thirty-six".