105056052 has 48 divisors (see below), whose sum is σ = 254358720. Its totient is φ = 33723648.

The previous prime is 105056047. The next prime is 105056069. The reversal of 105056052 is 250650501.

It is a super-2 number, since 2×105056052² = 22073548123653408, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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, 36274 + ... + 39062.

It is an arithmetic number, because the mean of its divisors is an integer number (5299140).

Almost surely, 2^105056052 is an apocalyptic number.

105056052 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

105056052 is an abundant number, since it is smaller than the sum of its proper divisors (149302668).

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

105056052 is a wasteful number, since it uses less digits than its factorization.

105056052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2912 (or 2910 counting only the distinct ones).

The product of its (nonzero) digits is 1500, while the sum is 24.

The square root of 105056052 is about 10249.6854585885. The cubic root of 105056052 is about 471.8533310927.

The spelling of 105056052 in words is "one hundred five million, fifty-six thousand, fifty-two".