108648972 has 108 divisors (see below), whose sum is σ = 304384360. Its totient is φ = 33508224.

The previous prime is 108648961. The next prime is 108648979. The reversal of 108648972 is 279846801.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a tau number, because it is divible by the number of its divisors (108).

It is not an unprimeable number, because it can be changed into a prime (108648979) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1841479 + ... + 1841537.

Almost surely, 2^108648972 is an apocalyptic number.

108648972 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 108648972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152192180).

108648972 is an abundant number, since it is smaller than the sum of its proper divisors (195735388).

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

108648972 is a wasteful number, since it uses less digits than its factorization.

108648972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 108648972 is about 10423.4817599495. The cubic root of 108648972 is about 477.1722806352.

The spelling of 108648972 in words is "one hundred eight million, six hundred forty-eight thousand, nine hundred seventy-two".