109557216 has 72 divisors (see below), whose sum is σ = 313296984. Its totient is φ = 36314880.

The previous prime is 109557191. The next prime is 109557221. The reversal of 109557216 is 612755901.

It is a tau number, because it is divible by the number of its divisors (72).

It is a hoax number, since the sum of its digits (36) 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 (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 55771 + ... + 57701.

It is an arithmetic number, because the mean of its divisors is an integer number (4351347).

Almost surely, 2^109557216 is an apocalyptic number.

109557216 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 109557216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156648492).

109557216 is an abundant number, since it is smaller than the sum of its proper divisors (203739768).

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

109557216 is a wasteful number, since it uses less digits than its factorization.

109557216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2144 (or 2133 counting only the distinct ones).

The product of its (nonzero) digits is 18900, while the sum is 36.

The square root of 109557216 is about 10466.9582974234. The cubic root of 109557216 is about 478.4982229537.

It can be divided in two parts, 1095 and 57216, that added together give a triangular number (58311 = T₃₄₁).

The spelling of 109557216 in words is "one hundred nine million, five hundred fifty-seven thousand, two hundred sixteen".