109931952 has 80 divisors (see below), whose sum is σ = 315757568. Its totient is φ = 32728320.

The previous prime is 109931933. The next prime is 109931981. The reversal of 109931952 is 259139901.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 109931952.

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, 16503 + ... + 22185.

Almost surely, 2^109931952 is an apocalyptic number.

109931952 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 109931952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157878784).

109931952 is an abundant number, since it is smaller than the sum of its proper divisors (205825616).

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

109931952 is a wasteful number, since it uses less digits than its factorization.

109931952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5738 (or 5732 counting only the distinct ones).

The product of its (nonzero) digits is 21870, while the sum is 39.

The square root of 109931952 is about 10484.8439187238. The cubic root of 109931952 is about 479.0431633444.

The spelling of 109931952 in words is "one hundred nine million, nine hundred thirty-one thousand, nine hundred fifty-two".