108384131992900 has 27 divisors (see below), whose sum is σ = 235193792338519. Its totient is φ = 43353611154080.

The previous prime is 108384131992883. The next prime is 108384131992931. The reversal of 108384131992900 is 9299131483801.

The square root of 108384131992900 is 10410770.

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 35707006585156 + 72677125407744 = 5975534^2 + 8525088^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 103587162 + ... + 104628238.

Almost surely, 2^{108384131992900} is an apocalyptic number.

108384131992900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

108384131992900 is the 10410770-th square number.

It is an amenable number.

108384131992900 is an abundant number, since it is smaller than the sum of its proper divisors (126809660345619).

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

108384131992900 is an frugal number, since it uses more digits than its factorization.

108384131992900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2082168 (or 1041084 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 58.

The spelling of 108384131992900 in words is "one hundred eight trillion, three hundred eighty-four billion, one hundred thirty-one million, nine hundred ninety-two thousand, nine hundred".