105160656 has 80 divisors (see below), whose sum is σ = 280696320. Its totient is φ = 33909120.

The previous prime is 105160651. The next prime is 105160663. The reversal of 105160656 is 656061501.

It is a super-2 number, since 2×105160656² = 22117527140700672, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105160651) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 200811 + ... + 201333.

It is an arithmetic number, because the mean of its divisors is an integer number (3508704).

Almost surely, 2^105160656 is an apocalyptic number.

105160656 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 105160656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140348160).

105160656 is an abundant number, since it is smaller than the sum of its proper divisors (175535664).

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

105160656 is a wasteful number, since it uses less digits than its factorization.

105160656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 664 (or 658 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 30.

The square root of 105160656 is about 10254.7869797476. The cubic root of 105160656 is about 472.0098867986.

The spelling of 105160656 in words is "one hundred five million, one hundred sixty thousand, six hundred fifty-six".