109727352 has 128 divisors (see below), whose sum is σ = 359731200. Its totient is φ = 30326400.

The previous prime is 109727347. The next prime is 109727377. The reversal of 109727352 is 253727901.

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 a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 45702 + ... + 48042.

It is an arithmetic number, because the mean of its divisors is an integer number (2810400).

Almost surely, 2^109727352 is an apocalyptic number.

109727352 is a gapful number since it is divisible by the number (12) 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 109727352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179865600).

109727352 is an abundant number, since it is smaller than the sum of its proper divisors (250003848).

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

109727352 is a wasteful number, since it uses less digits than its factorization.

109727352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2394 (or 2384 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 36.

The square root of 109727352 is about 10475.0824340432. The cubic root of 109727352 is about 478.7457881725.

The spelling of 109727352 in words is "one hundred nine million, seven hundred twenty-seven thousand, three hundred fifty-two".