109557952 has 112 divisors (see below), whose sum is σ = 267086080. Its totient is φ = 43545600.

The previous prime is 109557949. The next prime is 109557967. The reversal of 109557952 is 259755901.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a junction number, because it is equal to n+sod(n) for n = 109557899 and 109557908.

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, 519127 + ... + 519337.

Almost surely, 2^109557952 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 109557952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133543040).

109557952 is an abundant number, since it is smaller than the sum of its proper divisors (157528128).

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

109557952 is a wasteful number, since it uses less digits than its factorization.

109557952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 141750, while the sum is 43.

The square root of 109557952 is about 10466.9934556204. The cubic root of 109557952 is about 478.4992944605.

The spelling of 109557952 in words is "one hundred nine million, five hundred fifty-seven thousand, nine hundred fifty-two".