106812225 has 81 divisors (see below), whose sum is σ = 211143387. Its totient is φ = 51592320.

The previous prime is 106812203. The next prime is 106812227. The reversal of 106812225 is 522218601.

It is a happy number.

The square root of 106812225 is 10335.

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

It can be written as a sum of positive squares in 13 ways, for example, as 83887281 + 22924944 = 9159^2 + 4788^2 .

It is not a de Polignac number, because 106812225 - 2²³ = 98423617 is a prime.

It is a super-2 number, since 2×106812225² = 22817702818901250, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106812227) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 2015299 + ... + 2015351.

Almost surely, 2^106812225 is an apocalyptic number.

106812225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

106812225 is the 10335-th square number.

106812225 is the 5168-th centered octagonal number.

It is an amenable number.

106812225 is a deficient number, since it is larger than the sum of its proper divisors (104331162).

106812225 is a wasteful number, since it uses less digits than its factorization.

106812225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The cubic root of 106812225 is about 474.4680656559.

The spelling of 106812225 in words is "one hundred six million, eight hundred twelve thousand, two hundred twenty-five".