107752896 has 112 divisors (see below), whose sum is σ = 319918080. Its totient is φ = 35562240.

The previous prime is 107752873. The next prime is 107752913. The reversal of 107752896 is 698257701.

It is a super-2 number, since 2×107752896² = 23221373192773632, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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, 219211 + ... + 219701.

Almost surely, 2^107752896 is an apocalyptic number.

107752896 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 107752896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159959040).

107752896 is an abundant number, since it is smaller than the sum of its proper divisors (212165184).

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

107752896 is a wasteful number, since it uses less digits than its factorization.

107752896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 639 (or 623 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 45.

The square root of 107752896 is about 10380.4092404876. The cubic root of 107752896 is about 475.8568408786.

The spelling of 107752896 in words is "one hundred seven million, seven hundred fifty-two thousand, eight hundred ninety-six".