100075085 has 16 divisors (see below), whose sum is σ = 135527040. Its totient is φ = 70271040.

The previous prime is 100075069. The next prime is 100075103. The reversal of 100075085 is 580570001.

It is not a de Polignac number, because 100075085 - 2⁴ = 100075069 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29777 + ... + 32966.

It is an arithmetic number, because the mean of its divisors is an integer number (8470440).

Almost surely, 2^100075085 is an apocalyptic number.

It is an amenable number.

100075085 is a deficient number, since it is larger than the sum of its proper divisors (35451955).

100075085 is a wasteful number, since it uses less digits than its factorization.

100075085 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62788.

The product of its (nonzero) digits is 1400, while the sum is 26.

The square root of 100075085 is about 10003.7535455448. The cubic root of 100075085 is about 464.2750255302.

The spelling of 100075085 in words is "one hundred million, seventy-five thousand, eighty-five".