108360672 has 96 divisors (see below), whose sum is σ = 328188672. Its totient is φ = 30664704.

The previous prime is 108360671. The next prime is 108360691. The reversal of 108360672 is 276063801.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (108360671) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 75223 + ... + 76649.

It is an arithmetic number, because the mean of its divisors is an integer number (3418632).

Almost surely, 2^108360672 is an apocalyptic number.

108360672 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 108360672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164094336).

108360672 is an abundant number, since it is smaller than the sum of its proper divisors (219828000).

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

108360672 is a wasteful number, since it uses less digits than its factorization.

108360672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1560 (or 1552 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 108360672 is about 10409.6432215518. The cubic root of 108360672 is about 476.7498479598.

The spelling of 108360672 in words is "one hundred eight million, three hundred sixty thousand, six hundred seventy-two".