100085607 has 12 divisors (see below), whose sum is σ = 147644640. Its totient is φ = 65303808.

The previous prime is 100085603. The next prime is 100085611. The reversal of 100085607 is 706580001.

It is an interprime number because it is at equal distance from previous prime (100085603) and next prime (100085611).

It is not a de Polignac number, because 100085607 - 2² = 100085603 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100085603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 117882 + ... + 118727.

It is an arithmetic number, because the mean of its divisors is an integer number (12303720).

Almost surely, 2^100085607 is an apocalyptic number.

100085607 is a deficient number, since it is larger than the sum of its proper divisors (47559033).

100085607 is a wasteful number, since it uses less digits than its factorization.

100085607 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236662 (or 236659 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 100085607 is about 10004.2794343221. The cubic root of 100085607 is about 464.2912964153.

The spelling of 100085607 in words is "one hundred million, eighty-five thousand, six hundred seven".