108090180 has 192 divisors, whose sum is σ = 379330560. Its totient is φ = 25315200.

The previous prime is 108090167. The next prime is 108090181. The reversal of 108090180 is 81090801.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (108090181) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 183847 + ... + 184433.

It is an arithmetic number, because the mean of its divisors is an integer number (1975680).

Almost surely, 2^108090180 is an apocalyptic number.

108090180 is a gapful number since it is divisible by the number (10) 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 108090180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189665280).

108090180 is an abundant number, since it is smaller than the sum of its proper divisors (271240380).

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

108090180 is a wasteful number, since it uses less digits than its factorization.

108090180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 647 (or 639 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 27.

The square root of 108090180 is about 10396.6427273423. The cubic root of 108090180 is about 476.3528267029.

The spelling of 108090180 in words is "one hundred eight million, ninety thousand, one hundred eighty".