108225972 has 18 divisors (see below), whose sum is σ = 273571298. Its totient is φ = 36075312.

The previous prime is 108225967. The next prime is 108225973. The reversal of 108225972 is 279522801.

It can be written as a sum of positive squares in only one way, i.e., 86936976 + 21288996 = 9324^2 + 4614^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-2 number, since 2×108225972² = 23425722030689568, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 3006277 = 108225972 / (1 + 0 + 8 + 2 + 2 + 5 + 9 + 7 + 2).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (108225973) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1503103 + ... + 1503174.

Almost surely, 2^108225972 is an apocalyptic number.

108225972 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

108225972 is an abundant number, since it is smaller than the sum of its proper divisors (165345326).

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

108225972 is a wasteful number, since it uses less digits than its factorization.

108225972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3006287 (or 3006282 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 108225972 is about 10403.1712472688. The cubic root of 108225972 is about 476.5522214255.

The spelling of 108225972 in words is "one hundred eight million, two hundred twenty-five thousand, nine hundred seventy-two".