105056116 has 24 divisors (see below), whose sum is σ = 200831904. Its totient is φ = 47688480.

The previous prime is 105056101. The next prime is 105056137. The reversal of 105056116 is 611650501.

It is a super-2 number, since 2×105056116² = 22073575018010912, which contains 22 as substring.

It is a hoax number, since the sum of its digits (25) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

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, 50146 + ... + 52198.

It is an arithmetic number, because the mean of its divisors is an integer number (8367996).

Almost surely, 2^105056116 is an apocalyptic number.

It is an amenable number.

105056116 is a deficient number, since it is larger than the sum of its proper divisors (95775788).

105056116 is a wasteful number, since it uses less digits than its factorization.

105056116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3231 (or 3229 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 25.

The square root of 105056116 is about 10249.6885806350. The cubic root of 105056116 is about 471.8534269102.

The spelling of 105056116 in words is "one hundred five million, fifty-six thousand, one hundred sixteen".