107813952 has 42 divisors (see below), whose sum is σ = 309030878. Its totient is φ = 35937792.

The previous prime is 107813947. The next prime is 107813987. The reversal of 107813952 is 259318701.

It can be written as a sum of positive squares in only one way, i.e., 106007616 + 1806336 = 10296^2 + 1344^2 .

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 93013 + ... + 94164.

Almost surely, 2^107813952 is an apocalyptic number.

107813952 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

107813952 is an abundant number, since it is smaller than the sum of its proper divisors (201216926).

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

107813952 is a wasteful number, since it uses less digits than its factorization.

107813952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187195 (or 187182 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The square root of 107813952 is about 10383.3497485156. The cubic root of 107813952 is about 475.9467021274.

The spelling of 107813952 in words is "one hundred seven million, eight hundred thirteen thousand, nine hundred fifty-two".