108873601600 has 189 divisors, whose sum is σ = 274042164513. Its totient is φ = 42572759040.

The previous prime is 108873601391. The next prime is 108873601631. The reversal of 108873601600 is 6106378801.

The square root of 108873601600 is 329960.

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

It can be written as a sum of positive squares in 13 ways, for example, as 108493819456 + 379782144 = 329384^2 + 19488^2 .

It is a super-2 number, since 2×108873601600² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 963483144 + ... + 963483256.

Almost surely, 2^108873601600 is an apocalyptic number.

108873601600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

108873601600 is the 329960-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 108873601600

108873601600 is an abundant number, since it is smaller than the sum of its proper divisors (165168562913).

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

108873601600 is an frugal number, since it uses more digits than its factorization.

108873601600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 394 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 40.

The spelling of 108873601600 in words is "one hundred eight billion, eight hundred seventy-three million, six hundred one thousand, six hundred".