109907460 has 108 divisors (see below), whose sum is σ = 361103652. Its totient is φ = 27046656.

The previous prime is 109907449. The next prime is 109907467. The reversal of 109907460 is 64709901.

109907460 is a `hidden beast` number, since 109 + 90 + 7 + 460 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 61214976 + 48692484 = 7824^2 + 6978^2 .

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

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

It is not an unprimeable number, because it can be changed into a prime (109907467) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 28614 + ... + 32226.

Almost surely, 2^109907460 is an apocalyptic number.

109907460 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 109907460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180551826).

109907460 is an abundant number, since it is smaller than the sum of its proper divisors (251196192).

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

109907460 is a wasteful number, since it uses less digits than its factorization.

109907460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3654 (or 3636 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 109907460 is about 10483.6758820559. The cubic root of 109907460 is about 479.0075849817.

The spelling of 109907460 in words is "one hundred nine million, nine hundred seven thousand, four hundred sixty".