107827320 has 32 divisors (see below), whose sum is σ = 323482320. Its totient is φ = 28753920.

The previous prime is 107827319. The next prime is 107827333. The reversal of 107827320 is 23728701.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 7 ways as a sum of consecutive naturals, for example, 449161 + ... + 449400.

Almost surely, 2^107827320 is an apocalyptic number.

107827320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

107827320 is an abundant number, since it is smaller than the sum of its proper divisors (215655000).

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

107827320 is a wasteful number, since it uses less digits than its factorization.

107827320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 898575 (or 898571 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 30.

The square root of 107827320 is about 10383.9934514617. The cubic root of 107827320 is about 475.9663724096.

The spelling of 107827320 in words is "one hundred seven million, eight hundred twenty-seven thousand, three hundred twenty".