109878990400 has 63 divisors (see below), whose sum is σ = 270403620609. Its totient is φ = 43946292480.

The previous prime is 109878990379. The next prime is 109878990401. The reversal of 109878990400 is 4099878901.

The square root of 109878990400 is 331480.

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

It can be written as a sum of positive squares in only one way, i.e., 39556436544 + 70322553856 = 198888^2 + 265184^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (109878990401) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 13255057 + ... + 13263343.

Almost surely, 2^109878990400 is an apocalyptic number.

109878990400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

109878990400 is the 331480-th square number.

It is an amenable number.

109878990400 is an abundant number, since it is smaller than the sum of its proper divisors (160524630209).

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

109878990400 is an frugal number, since it uses more digits than its factorization.

109878990400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16596 (or 8294 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 55.

The spelling of 109878990400 in words is "one hundred nine billion, eight hundred seventy-eight million, nine hundred ninety thousand, four hundred".