109212960 has 144 divisors (see below), whose sum is σ = 354908736. Its totient is φ = 28227072.

The previous prime is 109212959. The next prime is 109212973. The reversal of 109212960 is 69212901.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 1060269 + ... + 1060371.

It is an arithmetic number, because the mean of its divisors is an integer number (2464644).

Almost surely, 2^109212960 is an apocalyptic number.

109212960 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 109212960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177454368).

109212960 is an abundant number, since it is smaller than the sum of its proper divisors (245695776).

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

109212960 is a wasteful number, since it uses less digits than its factorization.

109212960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 30.

The square root of 109212960 is about 10450.5004664848. The cubic root of 109212960 is about 477.9965103064.

The spelling of 109212960 in words is "one hundred nine million, two hundred twelve thousand, nine hundred sixty".