108045972 has 36 divisors (see below), whose sum is σ = 275940756. Its totient is φ = 35642880.

The previous prime is 108045961. The next prime is 108045979. The reversal of 108045972 is 279540801.

It can be written as a sum of positive squares in 2 ways, for example, as 39388176 + 68657796 = 6276^2 + 8286^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (108045979) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11979 + ... + 18962.

It is an arithmetic number, because the mean of its divisors is an integer number (7665021).

Almost surely, 2^108045972 is an apocalyptic number.

108045972 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

108045972 is an abundant number, since it is smaller than the sum of its proper divisors (167894784).

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

108045972 is a wasteful number, since it uses less digits than its factorization.

108045972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31048 (or 31043 counting only the distinct ones).

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

The square root of 108045972 is about 10394.5164389692. The cubic root of 108045972 is about 476.2878763767.

The spelling of 108045972 in words is "one hundred eight million, forty-five thousand, nine hundred seventy-two".