109925920 has 96 divisors (see below), whose sum is σ = 286720560. Its totient is φ = 39567360.

The previous prime is 109925897. The next prime is 109925951. The reversal of 109925920 is 29529901.

It can be written as a sum of positive squares in 8 ways, for example, as 17073424 + 92852496 = 4132^2 + 9636^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 109925920.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 84636 + ... + 85924.

Almost surely, 2^109925920 is an apocalyptic number.

109925920 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 109925920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143360280).

109925920 is an abundant number, since it is smaller than the sum of its proper divisors (176794640).

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

109925920 is a wasteful number, since it uses less digits than its factorization.

109925920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1358 (or 1350 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 37.

The square root of 109925920 is about 10484.5562614733. The cubic root of 109925920 is about 479.0344014356.

The spelling of 109925920 in words is "one hundred nine million, nine hundred twenty-five thousand, nine hundred twenty".