107893296 has 150 divisors (see below), whose sum is σ = 363471900. Its totient is φ = 30808512.

The previous prime is 107893273. The next prime is 107893307. The reversal of 107893296 is 692398701.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 62655 + ... + 64353.

It is an arithmetic number, because the mean of its divisors is an integer number (2423146).

Almost surely, 2^107893296 is an apocalyptic number.

107893296 is a gapful number since it is divisible by the number (16) 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 107893296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181735950).

107893296 is an abundant number, since it is smaller than the sum of its proper divisors (255578604).

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

107893296 is a wasteful number, since it uses less digits than its factorization.

107893296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1733 (or 1711 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The square root of 107893296 is about 10387.1697781446. The cubic root of 107893296 is about 476.0634286871.

The spelling of 107893296 in words is "one hundred seven million, eight hundred ninety-three thousand, two hundred ninety-six".