109921152 has 128 divisors (see below), whose sum is σ = 325192320. Its totient is φ = 32614400.

The previous prime is 109921139. The next prime is 109921157. The reversal of 109921152 is 251129901.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (109921157) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 223627 + ... + 224117.

It is an arithmetic number, because the mean of its divisors is an integer number (2540565).

Almost surely, 2^109921152 is an apocalyptic number.

109921152 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 109921152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162596160).

109921152 is an abundant number, since it is smaller than the sum of its proper divisors (215271168).

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

109921152 is a wasteful number, since it uses less digits than its factorization.

109921152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 572 (or 560 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 30.

The square root of 109921152 is about 10484.3288769477. The cubic root of 109921152 is about 479.0274753498.

The spelling of 109921152 in words is "one hundred nine million, nine hundred twenty-one thousand, one hundred fifty-two".