109729152 has 192 divisors, whose sum is σ = 360884160. Its totient is φ = 31703040.

The previous prime is 109729141. The next prime is 109729177. The reversal of 109729152 is 251927901.

It is a tau number, because it is divible by the number of its divisors (192).

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 23 ways as a sum of consecutive naturals, for example, 254377 + ... + 254807.

It is an arithmetic number, because the mean of its divisors is an integer number (1879605).

Almost surely, 2^109729152 is an apocalyptic number.

109729152 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 109729152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180442080).

109729152 is an abundant number, since it is smaller than the sum of its proper divisors (251155008).

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

109729152 is a wasteful number, since it uses less digits than its factorization.

109729152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 481 (or 466 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 36.

The square root of 109729152 is about 10475.1683518691. The cubic root of 109729152 is about 478.7484059874.

The spelling of 109729152 in words is "one hundred nine million, seven hundred twenty-nine thousand, one hundred fifty-two".