105722368164 has 72 divisors (see below), whose sum is σ = 306555762240. Its totient is φ = 30094080192.

The previous prime is 105722368159. The next prime is 105722368231. The reversal of 105722368164 is 461863227501.

105722368164 is a `hidden beast` number, since 1 + 0 + 572 + 2 + 3 + 68 + 16 + 4 = 666.

It is a super-2 number, since 2×105722368164² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 712014 + ... + 847589.

It is an arithmetic number, because the mean of its divisors is an integer number (4257718920).

Almost surely, 2^105722368164 is an apocalyptic number.

105722368164 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

105722368164 is an abundant number, since it is smaller than the sum of its proper divisors (200833394076).

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

105722368164 is a wasteful number, since it uses less digits than its factorization.

105722368164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1559889 (or 1559884 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 105722368164 in words is "one hundred five billion, seven hundred twenty-two million, three hundred sixty-eight thousand, one hundred sixty-four".