109725840 has 400 divisors, whose sum is σ = 453720960. Its totient is φ = 24053760.

The previous prime is 109725823. The next prime is 109725851. The reversal of 109725840 is 48527901.

109725840 is a `hidden beast` number, since 1 + 0 + 9 + 72 + 584 + 0 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 109725795 and 109725804.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1859731 + ... + 1859789.

Almost surely, 2^109725840 is an apocalyptic number.

109725840 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 109725840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226860480).

109725840 is an abundant number, since it is smaller than the sum of its proper divisors (343995120).

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

109725840 is a wasteful number, since it uses less digits than its factorization.

109725840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 109725840 is about 10475.0102625248. The cubic root of 109725840 is about 478.7435891858.

The spelling of 109725840 in words is "one hundred nine million, seven hundred twenty-five thousand, eight hundred forty".