111193439728900 has 27 divisors (see below), whose sum is σ = 241289993034741. Its totient is φ = 44477333712240.

The previous prime is 111193439728871. The next prime is 111193439728919. The reversal of 111193439728900 is 9827934391111.

The square root of 111193439728900 is 10544830.

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., 40029638302404 + 71163801426496 = 6326898^2 + 8435864^2 .

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, 104921059 + ... + 105975541.

Almost surely, 2^{111193439728900} is an apocalyptic number.

111193439728900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

111193439728900 is the 10544830-th square number.

It is an amenable number.

111193439728900 is an abundant number, since it is smaller than the sum of its proper divisors (130096553305841).

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

111193439728900 is an frugal number, since it uses more digits than its factorization.

111193439728900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2108980 (or 1054490 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 58.

The spelling of 111193439728900 in words is "one hundred eleven trillion, one hundred ninety-three billion, four hundred thirty-nine million, seven hundred twenty-eight thousand, nine hundred".