109992960 has 528 divisors, whose sum is σ = 490493952. Its totient is φ = 22118400.

The previous prime is 109992959. The next prime is 109992973. The reversal of 109992960 is 69299901.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (528).

It is a super-3 number, since 3×109992960³ (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3548145 + ... + 3548175.

Almost surely, 2^109992960 is an apocalyptic number.

109992960 is a gapful number since it is divisible by the number (10) 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 109992960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245246976).

109992960 is an abundant number, since it is smaller than the sum of its proper divisors (380500992).

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

109992960 is a wasteful number, since it uses less digits than its factorization.

109992960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 78732, while the sum is 45.

The square root of 109992960 is about 10487.7528575000. The cubic root of 109992960 is about 479.1317637925.

The spelling of 109992960 in words is "one hundred nine million, nine hundred ninety-two thousand, nine hundred sixty".