105072504 has 32 divisors (see below), whose sum is σ = 269090640. Its totient is φ = 34169600.

The previous prime is 105072497. The next prime is 105072551. The reversal of 105072504 is 405270501.

It is a super-2 number, since 2×105072504² = 22080462193660032, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 52407 + ... + 54374.

Almost surely, 2^105072504 is an apocalyptic number.

It is an amenable number.

105072504 is an abundant number, since it is smaller than the sum of its proper divisors (164018136).

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

105072504 is a wasteful number, since it uses less digits than its factorization.

105072504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106831 (or 106827 counting only the distinct ones).

The product of its (nonzero) digits is 1400, while the sum is 24.

The square root of 105072504 is about 10250.4879883838. The cubic root of 105072504 is about 471.8779608837.

The spelling of 105072504 in words is "one hundred five million, seventy-two thousand, five hundred four".