105156656 has 40 divisors (see below), whose sum is σ = 223558608. Its totient is φ = 47520000.

The previous prime is 105156647. The next prime is 105156661. The reversal of 105156656 is 656651501.

It is a super-2 number, since 2×105156656² = 22115844602204672, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30206 + ... + 33506.

Almost surely, 2^105156656 is an apocalyptic number.

105156656 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 105156656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111779304).

105156656 is an abundant number, since it is smaller than the sum of its proper divisors (118401952).

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

105156656 is a wasteful number, since it uses less digits than its factorization.

105156656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3501 (or 3495 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 35.

The square root of 105156656 is about 10254.5919470255. The cubic root of 105156656 is about 472.0039021031.

It can be divided in two parts, 10515 and 6656, that added together give a palindrome (17171).

The spelling of 105156656 in words is "one hundred five million, one hundred fifty-six thousand, six hundred fifty-six".