109080972 has 192 divisors, whose sum is σ = 380083200. Its totient is φ = 26127360.

The previous prime is 109080953. The next prime is 109081001. The reversal of 109080972 is 279080901.

It is a happy number.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its 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 63 ways as a sum of consecutive naturals, for example, 107604 + ... + 108612.

It is an arithmetic number, because the mean of its divisors is an integer number (1979600).

Almost surely, 2^109080972 is an apocalyptic number.

109080972 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 109080972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190041600).

109080972 is an abundant number, since it is smaller than the sum of its proper divisors (271002228).

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

109080972 is a wasteful number, since it uses less digits than its factorization.

109080972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1053 (or 1045 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 36.

The square root of 109080972 is about 10444.1836444980. The cubic root of 109080972 is about 477.8038737184.

The spelling of 109080972 in words is "one hundred nine million, eighty thousand, nine hundred seventy-two".