108905472 has 220 divisors, whose sum is σ = 353697036. Its totient is φ = 33177600.

The previous prime is 108905453. The next prime is 108905477. The reversal of 108905472 is 274509801.

108905472 is a `hidden beast` number, since 108 + 9 + 0 + 547 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 65028096 + 43877376 = 8064^2 + 6624^2 .

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

It is not an unprimeable number, because it can be changed into a prime (108905477) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1078222 + ... + 1078322.

Almost surely, 2^108905472 is an apocalyptic number.

108905472 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 108905472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176848518).

108905472 is an abundant number, since it is smaller than the sum of its proper divisors (244791564).

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

108905472 is a wasteful number, since it uses less digits than its factorization.

108905472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 119 counting only the distinct ones).

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

The square root of 108905472 is about 10435.7784568282. The cubic root of 108905472 is about 477.5474905024.

The spelling of 108905472 in words is "one hundred eight million, nine hundred five thousand, four hundred seventy-two".