108900000000 has 729 divisors, whose sum is σ = 431405540839. Its totient is φ = 26400000000.

The previous prime is 108899999969. The next prime is 108900000023. The reversal of 108900000000 is 9801.

The square root of 108900000000 is 330000.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 77426401536 + 31473598464 = 278256^2 + 177408^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 9899999995 + ... + 9900000005.

Almost surely, 2^108900000000 is an apocalyptic number.

108900000000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

108900000000 is the 330000-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 108900000000

108900000000 is an abundant number, since it is smaller than the sum of its proper divisors (322505540839).

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

108900000000 is an frugal number, since it uses more digits than its factorization.

108900000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 108900000000 its reverse (9801), we get a palindrome (108900009801).

The spelling of 108900000000 in words is "one hundred eight billion, nine hundred million", and thus it is an aban number.