100837085 has 16 divisors (see below), whose sum is σ = 127820160. Its totient is φ = 76155840.

The previous prime is 100837067. The next prime is 100837109. The reversal of 100837085 is 580738001.

It is not a de Polignac number, because 100837085 - 2²⁴ = 84059869 is a prime.

It is a super-2 number, since 2×100837085² = 20336235422594450, 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 (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27839 + ... + 31251.

It is an arithmetic number, because the mean of its divisors is an integer number (7988760).

Almost surely, 2^100837085 is an apocalyptic number.

It is an amenable number.

100837085 is a deficient number, since it is larger than the sum of its proper divisors (26983075).

100837085 is a wasteful number, since it uses less digits than its factorization.

100837085 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3748.

The product of its (nonzero) digits is 6720, while the sum is 32.

The square root of 100837085 is about 10041.7670257779. The cubic root of 100837085 is about 465.4504210771.

The spelling of 100837085 in words is "one hundred million, eight hundred thirty-seven thousand, eighty-five".