85300107 has 12 divisors (see below), whose sum is σ = 117794040. Its totient is φ = 54904192.

The previous prime is 85300081. The next prime is 85300153. The reversal of 85300107 is 70100358.

It is not a de Polignac number, because 85300107 - 2⁶ = 85300043 is a prime.

It is a super-2 number, since 2×85300107² = 14552216508422898, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (85300807) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 14382 + ... + 19427.

It is an arithmetic number, because the mean of its divisors is an integer number (9816170).

Almost surely, 2^85300107 is an apocalyptic number.

85300107 is a gapful number since it is divisible by the number (87) formed by its first and last digit.

85300107 is a deficient number, since it is larger than the sum of its proper divisors (32493933).

85300107 is a wasteful number, since it uses less digits than its factorization.

85300107 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33870 (or 33841 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 24.

The square root of 85300107 is about 9235.8057038896. The cubic root of 85300107 is about 440.1998179891.

The spelling of 85300107 in words is "eighty-five million, three hundred thousand, one hundred seven".