109122972 has 96 divisors (see below), whose sum is σ = 300367872. Its totient is φ = 30191616.

The previous prime is 109122941. The next prime is 109122991. The reversal of 109122972 is 279221901.

It is a super-2 number, since 2×109122972² = 23815646036225568, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 565308 + ... + 565500.

It is an arithmetic number, because the mean of its divisors is an integer number (3128832).

Almost surely, 2^109122972 is an apocalyptic number.

109122972 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 109122972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150183936).

109122972 is an abundant number, since it is smaller than the sum of its proper divisors (191244900).

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

109122972 is a wasteful number, since it uses less digits than its factorization.

109122972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 387 (or 385 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 33.

The square root of 109122972 is about 10446.1941394941. The cubic root of 109122972 is about 477.8651895992.

The spelling of 109122972 in words is "one hundred nine million, one hundred twenty-two thousand, nine hundred seventy-two".