106315225 has 12 divisors (see below), whose sum is σ = 132720300. Its totient is φ = 84478400.

The previous prime is 106315211. The next prime is 106315243. The reversal of 106315225 is 522513601.

It can be written as a sum of positive squares in 6 ways, for example, as 23941449 + 82373776 = 4893^2 + 9076^2 .

It is not a de Polignac number, because 106315225 - 2¹⁵ = 106282457 is a prime.

It is a super-2 number, since 2×106315225² = 22605854133601250, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a self number, because there is not a number n which added to its sum of digits gives 106315225.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10546 + ... + 17995.

It is an arithmetic number, because the mean of its divisors is an integer number (11060025).

Almost surely, 2^106315225 is an apocalyptic number.

It is an amenable number.

106315225 is a deficient number, since it is larger than the sum of its proper divisors (26405075).

106315225 is a wasteful number, since it uses less digits than its factorization.

106315225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28700 (or 28695 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 25.

The square root of 106315225 is about 10310.9274558596. The cubic root of 106315225 is about 473.7310173099.

Adding to 106315225 its reverse (522513601), we get a palindrome (628828826).

The spelling of 106315225 in words is "one hundred six million, three hundred fifteen thousand, two hundred twenty-five".