105011856 has 160 divisors (see below), whose sum is σ = 324979200. Its totient is φ = 32348160.

The previous prime is 105011831. The next prime is 105011861. The reversal of 105011856 is 658110501.

It is a super-2 number, since 2×105011856² = 22054979801129472, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 580086 + ... + 580266.

It is an arithmetic number, because the mean of its divisors is an integer number (2031120).

Almost surely, 2^105011856 is an apocalyptic number.

105011856 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 105011856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162489600).

105011856 is an abundant number, since it is smaller than the sum of its proper divisors (219967344).

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

105011856 is a wasteful number, since it uses less digits than its factorization.

105011856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294 (or 282 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 27.

The square root of 105011856 is about 10247.5292631932. The cubic root of 105011856 is about 471.7871538649.

The spelling of 105011856 in words is "one hundred five million, eleven thousand, eight hundred fifty-six".