109727904 has 96 divisors (see below), whose sum is σ = 338433984. Its totient is φ = 30689280.

The previous prime is 109727899. The next prime is 109727923. The reversal of 109727904 is 409727901.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (39) 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 (39).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9732 + ... + 17724.

It is an arithmetic number, because the mean of its divisors is an integer number (3525354).

Almost surely, 2^109727904 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 109727904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169216992).

109727904 is an abundant number, since it is smaller than the sum of its proper divisors (228706080).

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

109727904 is a wasteful number, since it uses less digits than its factorization.

109727904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8030 (or 8022 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 39.

The square root of 109727904 is about 10475.1087822514. The cubic root of 109727904 is about 478.7465909721.

The spelling of 109727904 in words is "one hundred nine million, seven hundred twenty-seven thousand, nine hundred four".