109974564 has 192 divisors, whose sum is σ = 354816000. Its totient is φ = 28740096.

The previous prime is 109974563. The next prime is 109974589. The reversal of 109974564 is 465479901.

109974564 is a `hidden beast` number, since 10 + 9 + 9 + 74 + 564 = 666.

It is not an unprimeable number, because it can be changed into a prime (109974563) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 552537 + ... + 552735.

It is an arithmetic number, because the mean of its divisors is an integer number (1848000).

Almost surely, 2^109974564 is an apocalyptic number.

109974564 is a gapful number since it is divisible by the number (14) 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 109974564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177408000).

109974564 is an abundant number, since it is smaller than the sum of its proper divisors (244841436).

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

109974564 is a wasteful number, since it uses less digits than its factorization.

109974564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 109974564 is about 10486.8757978723. The cubic root of 109974564 is about 479.1050511758.

The spelling of 109974564 in words is "one hundred nine million, nine hundred seventy-four thousand, five hundred sixty-four".