111038900625 has 75 divisors (see below), whose sum is σ = 207414858343. Its totient is φ = 59180760000.

The previous prime is 111038900551. The next prime is 111038900627. The reversal of 111038900625 is 526009830111.

The square root of 111038900625 is 333225.

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

111038900625 is a `hidden beast` number, since 11 + 10 + 3 + 8 + 9 + 0 + 0 + 625 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 91789003089 + 19249897536 = 302967^2 + 138744^2 .

It is a tau number, because it is divible by the number of its divisors (75).

It is not a de Polignac number, because 111038900625 - 2¹⁵ = 111038867857 is a prime.

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 111038900625.

It is not an unprimeable number, because it can be changed into a prime (111038900627) by changing a digit.

It is a polite number, since it can be written in 74 ways as a sum of consecutive naturals, for example, 74974885 + ... + 74976365.

Almost surely, 2^111038900625 is an apocalyptic number.

111038900625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

111038900625 is the 333225-th square number.

111038900625 is the 166613-rd centered octagonal number.

It is an amenable number.

111038900625 is a deficient number, since it is larger than the sum of its proper divisors (96375957718).

111038900625 is an frugal number, since it uses more digits than its factorization.

111038900625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2994 (or 1489 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

Multiplying 111038900625 by its sum of digits (36), we get a square (3997400422500 = 1999350²).

The spelling of 111038900625 in words is "one hundred eleven billion, thirty-eight million, nine hundred thousand, six hundred twenty-five".