105107856 has 80 divisors (see below), whose sum is σ = 320360448. Its totient is φ = 29059200.

The previous prime is 105107831. The next prime is 105107857. The reversal of 105107856 is 658701501.

It is a super-2 number, since 2×105107856² = 22095322785833472, which contains 22 as substring.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (105107857) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5371 + ... + 15461.

Almost surely, 2^105107856 is an apocalyptic number.

105107856 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 105107856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160180224).

105107856 is an abundant number, since it is smaller than the sum of its proper divisors (215252592).

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

105107856 is a wasteful number, since it uses less digits than its factorization.

105107856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10140 (or 10134 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 33.

The square root of 105107856 is about 10252.2122490709. The cubic root of 105107856 is about 471.9308765959.

The spelling of 105107856 in words is "one hundred five million, one hundred seven thousand, eight hundred fifty-six".