105265656 has 96 divisors (see below), whose sum is σ = 298312560. Its totient is φ = 34774272.

The previous prime is 105265619. The next prime is 105265709. The reversal of 105265656 is 656562501.

It is a happy number.

It is a super-2 number, since 2×105265656² = 22161716666220672, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 105265656.

It is a congruent number.

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, 336156 + ... + 336468.

Almost surely, 2^105265656 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 105265656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149156280).

105265656 is an abundant number, since it is smaller than the sum of its proper divisors (193046904).

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

105265656 is a wasteful number, since it uses less digits than its factorization.

105265656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 507 (or 491 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

The square root of 105265656 is about 10259.9052627205. The cubic root of 105265656 is about 472.1669308048.

The spelling of 105265656 in words is "one hundred five million, two hundred sixty-five thousand, six hundred fifty-six".