109477872 has 160 divisors (see below), whose sum is σ = 368309760. Its totient is φ = 30481920.

The previous prime is 109477843. The next prime is 109477883. The reversal of 109477872 is 278774901.

It is a happy number.

109477872 is a `hidden beast` number, since 109 + 477 + 8 + 72 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 123543 + ... + 124425.

It is an arithmetic number, because the mean of its divisors is an integer number (2301936).

Almost surely, 2^109477872 is an apocalyptic number.

109477872 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 109477872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184154880).

109477872 is an abundant number, since it is smaller than the sum of its proper divisors (258831888).

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

109477872 is a wasteful number, since it uses less digits than its factorization.

109477872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 948 (or 936 counting only the distinct ones).

The product of its (nonzero) digits is 197568, while the sum is 45.

The square root of 109477872 is about 10463.1673980683. The cubic root of 109477872 is about 478.3826817070.

The spelling of 109477872 in words is "one hundred nine million, four hundred seventy-seven thousand, eight hundred seventy-two".