109057536 has 320 divisors, whose sum is σ = 392832000. Its totient is φ = 29804544.

The previous prime is 109057523. The next prime is 109057541. The reversal of 109057536 is 635750901.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 109057536.

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, 4741621 + ... + 4741643.

It is an arithmetic number, because the mean of its divisors is an integer number (1227600).

Almost surely, 2^109057536 is an apocalyptic number.

109057536 is a gapful number since it is divisible by the number (16) 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 109057536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196416000).

109057536 is an abundant number, since it is smaller than the sum of its proper divisors (283774464).

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

109057536 is an frugal number, since it uses more digits than its factorization.

109057536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71 (or 35 counting only the distinct ones).

The product of its (nonzero) digits is 28350, while the sum is 36.

The square root of 109057536 is about 10443.0616200423. The cubic root of 109057536 is about 477.7696526151.

The spelling of 109057536 in words is "one hundred nine million, fifty-seven thousand, five hundred thirty-six".