109661904 has 160 divisors (see below), whose sum is σ = 351406080. Its totient is φ = 32457600.

The previous prime is 109661891. The next prime is 109661933. The reversal of 109661904 is 409166901.

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

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, 223099 + ... + 223589.

It is an arithmetic number, because the mean of its divisors is an integer number (2196288).

Almost surely, 2^109661904 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 109661904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175703040).

109661904 is an abundant number, since it is smaller than the sum of its proper divisors (241744176).

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

109661904 is a wasteful number, since it uses less digits than its factorization.

109661904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 566 (or 554 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 109661904 is about 10471.9579831090. The cubic root of 109661904 is about 478.6505849697.

The spelling of 109661904 in words is "one hundred nine million, six hundred sixty-one thousand, nine hundred four".