110612782225 has 27 divisors (see below), whose sum is σ = 150787415611. Its totient is φ = 80432356400.

The previous prime is 110612782213. The next prime is 110612782237. The reversal of 110612782225 is 522287216011.

It is a happy number.

The square root of 110612782225 is 332585.

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

It is an interprime number because it is at equal distance from previous prime (110612782213) and next prime (110612782237).

It can be written as a sum of positive squares in only one way, i.e., 39820601601 + 70792180624 = 199551^2 + 266068^2 .

It is not a de Polignac number, because 110612782225 - 2⁵ = 110612782193 is a prime.

It is a Duffinian number.

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, 18289152 + ... + 18295198.

Almost surely, 2^110612782225 is an apocalyptic number.

110612782225 is the 332585-th square number.

110612782225 is the 166293-rd centered octagonal number.

It is an amenable number.

110612782225 is a deficient number, since it is larger than the sum of its proper divisors (40174633386).

110612782225 is an frugal number, since it uses more digits than its factorization.

110612782225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12126 (or 6063 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 37.

Adding to 110612782225 its reverse (522287216011), we get a palindrome (632899998236).

The spelling of 110612782225 in words is "one hundred ten billion, six hundred twelve million, seven hundred eighty-two thousand, two hundred twenty-five".