96385107 has 48 divisors (see below), whose sum is σ = 166290432. Its totient is φ = 49170240.

The previous prime is 96385099. The next prime is 96385123. The reversal of 96385107 is 70158369.

It is not a de Polignac number, because 96385107 - 2³ = 96385099 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (96385147) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 58428 + ... + 60054.

It is an arithmetic number, because the mean of its divisors is an integer number (3464384).

Almost surely, 2^96385107 is an apocalyptic number.

96385107 is a deficient number, since it is larger than the sum of its proper divisors (69905325).

96385107 is a wasteful number, since it uses less digits than its factorization.

96385107 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1688 (or 1681 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 39.

The square root of 96385107 is about 9817.5917108016. The cubic root of 96385107 is about 458.4971543828.

The spelling of 96385107 in words is "ninety-six million, three hundred eighty-five thousand, one hundred seven".