110779137225 has 27 divisors (see below), whose sum is σ = 198426686133. Its totient is φ = 59079543840.

The previous prime is 110779137181. The next prime is 110779137251. The reversal of 110779137225 is 522731977011.

The square root of 110779137225 is 332835.

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 97831881 + 110681305344 = 9891^2 + 332688^2 .

It is not a de Polignac number, because 110779137225 - 2⁷ = 110779137097 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 4981431 + ... + 5003619.

Almost surely, 2^110779137225 is an apocalyptic number.

110779137225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

110779137225 is the 332835-th square number.

110779137225 is the 166418-th centered octagonal number.

It is an amenable number.

110779137225 is a deficient number, since it is larger than the sum of its proper divisors (87647548908).

110779137225 is an frugal number, since it uses more digits than its factorization.

110779137225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44394 (or 22197 counting only the distinct ones).

The product of its (nonzero) digits is 185220, while the sum is 45.

It can be divided in two parts, 110779 and 137225, that added together give a square (248004 = 498²).

The spelling of 110779137225 in words is "one hundred ten billion, seven hundred seventy-nine million, one hundred thirty-seven thousand, two hundred twenty-five".