10075104 has 180 divisors, whose sum is σ = 33480216. Its totient is φ = 2965248.

The previous prime is 10075097. The next prime is 10075123. The reversal of 10075104 is 40157001.

It is a super-2 number, since 2×10075104² = 203015441221632, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 6.

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 29 ways as a sum of consecutive naturals, for example, 438037 + ... + 438059.

Almost surely, 2^10075104 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 10075104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16740108).

10075104 is an abundant number, since it is smaller than the sum of its proper divisors (23405112).

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

10075104 is a wasteful number, since it uses less digits than its factorization.

10075104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 18.

The square root of 10075104 is about 3174.1304321026. The cubic root of 10075104 is about 215.9814798936.

The spelling of 10075104 in words is "ten million, seventy-five thousand, one hundred four".