105925712256 has 512 divisors, whose sum is σ = 395215564800. Its totient is φ = 27178426368.

The previous prime is 105925712239. The next prime is 105925712261. The reversal of 105925712256 is 652217529501.

105925712256 is a `hidden beast` number, since 1 + 0 + 5 + 9 + 2 + 571 + 22 + 56 = 666.

It is a super-2 number, since 2×105925712256² (a number of 23 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 63 ways as a sum of consecutive naturals, for example, 11631801 + ... + 11640903.

It is an arithmetic number, because the mean of its divisors is an integer number (771905400).

Almost surely, 2^105925712256 is an apocalyptic number.

105925712256 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 105925712256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197607782400).

105925712256 is an abundant number, since it is smaller than the sum of its proper divisors (289289852544).

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

105925712256 is a wasteful number, since it uses less digits than its factorization.

105925712256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9183 (or 9165 counting only the distinct ones).

The product of its (nonzero) digits is 378000, while the sum is 45.

The spelling of 105925712256 in words is "one hundred five billion, nine hundred twenty-five million, seven hundred twelve thousand, two hundred fifty-six".