108516672 has 210 divisors, whose sum is σ = 355623114. Its totient is φ = 32693760.

The previous prime is 108516659. The next prime is 108516677. The reversal of 108516672 is 276615801.

It can be written as a sum of positive squares in only one way, i.e., 106007616 + 2509056 = 10296^2 + 1584^2 .

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 (108516677) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 627178 + ... + 627350.

Almost surely, 2^108516672 is an apocalyptic number.

108516672 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 108516672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177811557).

108516672 is an abundant number, since it is smaller than the sum of its proper divisors (247106442).

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

108516672 is a wasteful number, since it uses less digits than its factorization.

108516672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219 (or 189 counting only the distinct ones).

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

The square root of 108516672 is about 10417.1335788690. The cubic root of 108516672 is about 476.9785204520.

The spelling of 108516672 in words is "one hundred eight million, five hundred sixteen thousand, six hundred seventy-two".