105057512 has 64 divisors (see below), whose sum is σ = 235852800. Its totient is φ = 42923520.

The previous prime is 105057503. The next prime is 105057527. The reversal of 105057512 is 215750501.

It is a happy number.

It is a super-2 number, since 2×105057512² = 22074161655260288, which contains 22 as substring.

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, 126314 + ... + 127142.

It is an arithmetic number, because the mean of its divisors is an integer number (3685200).

Almost surely, 2^105057512 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105057512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117926400).

105057512 is an abundant number, since it is smaller than the sum of its proper divisors (130795288).

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

105057512 is a wasteful number, since it uses less digits than its factorization.

105057512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 946 (or 942 counting only the distinct ones).

The product of its (nonzero) digits is 1750, while the sum is 26.

The square root of 105057512 is about 10249.7566800388. The cubic root of 105057512 is about 471.8555169185.

The spelling of 105057512 in words is "one hundred five million, fifty-seven thousand, five hundred twelve".