107277264 has 80 divisors (see below), whose sum is σ = 318580800. Its totient is φ = 34521984.

The previous prime is 107277257. The next prime is 107277277. The reversal of 107277264 is 462772701.

It is a happy number.

It is a super-2 number, since 2×107277264² = 23016822742651392, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8247 + ... + 16809.

It is an arithmetic number, because the mean of its divisors is an integer number (3982260).

Almost surely, 2^107277264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 107277264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159290400).

107277264 is an abundant number, since it is smaller than the sum of its proper divisors (211303536).

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

107277264 is a wasteful number, since it uses less digits than its factorization.

107277264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8609 (or 8597 counting only the distinct ones).

The product of its (nonzero) digits is 32928, while the sum is 36.

The square root of 107277264 is about 10357.4738232834. The cubic root of 107277264 is about 475.1556483451.

The spelling of 107277264 in words is "one hundred seven million, two hundred seventy-seven thousand, two hundred sixty-four".