109904040 has 112 divisors (see below), whose sum is σ = 370854900. Its totient is φ = 29299968.

The previous prime is 109904029. The next prime is 109904063. The reversal of 109904040 is 40409901.

It can be written as a sum of positive squares in 2 ways, for example, as 108618084 + 1285956 = 10422^2 + 1134^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 109903995 and 109904013.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 27276 + ... + 31044.

Almost surely, 2^109904040 is an apocalyptic number.

109904040 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 109904040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185427450).

109904040 is an abundant number, since it is smaller than the sum of its proper divisors (260950860).

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

109904040 is an equidigital number, since it uses as much as digits as its factorization.

109904040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3798 (or 3779 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 109904040 is about 10483.5127700595. The cubic root of 109904040 is about 479.0026164899.

The spelling of 109904040 in words is "one hundred nine million, nine hundred four thousand, forty".