105856622604 has 120 divisors (see below), whose sum is σ = 285524038800. Its totient is φ = 34176660480.

The previous prime is 105856622593. The next prime is 105856622659. The reversal of 105856622604 is 406226658501.

105856622604 is a `hidden beast` number, since 1 + 0 + 5 + 8 + 566 + 22 + 60 + 4 = 666.

It is a super-2 number, since 2×105856622604² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105856622604.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1817812 + ... + 1875140.

It is an arithmetic number, because the mean of its divisors is an integer number (2379366990).

Almost surely, 2^105856622604 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105856622604, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142762019400).

105856622604 is an abundant number, since it is smaller than the sum of its proper divisors (179667416196).

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

105856622604 is a wasteful number, since it uses less digits than its factorization.

105856622604 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57525 (or 57514 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 105856622604 in words is "one hundred five billion, eight hundred fifty-six million, six hundred twenty-two thousand, six hundred four".