111075558400 has 99 divisors (see below), whose sum is σ = 275465123661. Its totient is φ = 44408893440.

The previous prime is 111075558383. The next prime is 111075558421. The reversal of 111075558400 is 4855570111.

The square root of 111075558400 is 333280.

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., 39987201024 + 71088357376 = 199968^2 + 266624^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 111075558400.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 53323759 + ... + 53325841.

Almost surely, 2^111075558400 is an apocalyptic number.

111075558400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

111075558400 is the 333280-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 111075558400

111075558400 is an abundant number, since it is smaller than the sum of its proper divisors (164389565261).

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

111075558400 is an frugal number, since it uses more digits than its factorization.

111075558400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4196 (or 2090 counting only the distinct ones).

The product of its (nonzero) digits is 28000, while the sum is 37.

The spelling of 111075558400 in words is "one hundred eleven billion, seventy-five million, five hundred fifty-eight thousand, four hundred".