107927952 has 80 divisors (see below), whose sum is σ = 308551680. Its totient is φ = 32233600.

The previous prime is 107927899. The next prime is 107927959. The reversal of 107927952 is 259729701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107927959) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36049 + ... + 38927.

It is an arithmetic number, because the mean of its divisors is an integer number (3856896).

Almost surely, 2^107927952 is an apocalyptic number.

107927952 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 107927952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154275840).

107927952 is an abundant number, since it is smaller than the sum of its proper divisors (200623728).

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

107927952 is a wasteful number, since it uses less digits than its factorization.

107927952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2972 (or 2966 counting only the distinct ones).

The product of its (nonzero) digits is 79380, while the sum is 42.

The square root of 107927952 is about 10388.8378560838. The cubic root of 107927952 is about 476.1143947454.

The spelling of 107927952 in words is "one hundred seven million, nine hundred twenty-seven thousand, nine hundred fifty-two".