107100966 has 24 divisors (see below), whose sum is σ = 249174360. Its totient is φ = 30600192.

The previous prime is 107100953. The next prime is 107101019. The reversal of 107100966 is 669001701.

It is a super-2 number, since 2×107100966² = 22941233836266312, 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 11 ways as a sum of consecutive naturals, for example, 181851 + ... + 182438.

It is an arithmetic number, because the mean of its divisors is an integer number (10382265).

Almost surely, 2^107100966 is an apocalyptic number.

107100966 is an abundant number, since it is smaller than the sum of its proper divisors (142073394).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

107100966 is a wasteful number, since it uses less digits than its factorization.

107100966 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 364308 (or 364301 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 30.

The square root of 107100966 is about 10348.9596578593. The cubic root of 107100966 is about 474.8952175151.

The spelling of 107100966 in words is "one hundred seven million, one hundred thousand, nine hundred sixty-six".