109957000 has 64 divisors (see below), whose sum is σ = 265674240. Its totient is φ = 42552000.

The previous prime is 109956947. The next prime is 109957049. The reversal of 109957000 is 759901.

It is a Harshad number since it is a multiple of its sum of digits (31).

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, 29227 + ... + 32773.

It is an arithmetic number, because the mean of its divisors is an integer number (4151160).

Almost surely, 2^109957000 is an apocalyptic number.

109957000 is a gapful number since it is divisible by the number (10) 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 109957000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132837120).

109957000 is an abundant number, since it is smaller than the sum of its proper divisors (155717240).

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

109957000 is a wasteful number, since it uses less digits than its factorization.

109957000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3599 (or 3585 counting only the distinct ones).

The product of its (nonzero) digits is 2835, while the sum is 31.

The square root of 109957000 is about 10486.0383367600. The cubic root of 109957000 is about 479.0795439165.

The spelling of 109957000 in words is "one hundred nine million, nine hundred fifty-seven thousand".