109197972 has 36 divisors (see below), whose sum is σ = 297262420. Its totient is φ = 33599232.

The previous prime is 109197943. The next prime is 109197973. The reversal of 109197972 is 279791901.

It can be written as a sum of positive squares in 2 ways, for example, as 5035536 + 104162436 = 2244^2 + 10206^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-4 number, since 4×109197972⁴ (a number of 33 digits) contains 4444 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (109197973) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 116197 + ... + 117132.

Almost surely, 2^109197972 is an apocalyptic number.

109197972 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

109197972 is an abundant number, since it is smaller than the sum of its proper divisors (188064448).

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

109197972 is a wasteful number, since it uses less digits than its factorization.

109197972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233352 (or 233347 counting only the distinct ones).

The product of its (nonzero) digits is 71442, while the sum is 45.

The square root of 109197972 is about 10449.7833470364. The cubic root of 109197972 is about 477.9746431231.

The spelling of 109197972 in words is "one hundred nine million, one hundred ninety-seven thousand, nine hundred seventy-two".