106057692225 has 45 divisors (see below), whose sum is σ = 196482657657. Its totient is φ = 56556286560.

The previous prime is 106057692199. The next prime is 106057692233. The reversal of 106057692225 is 522296750601.

The square root of 106057692225 is 325665.

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

106057692225 is a `hidden beast` number, since 10 + 60 + 576 + 9 + 2 + 2 + 2 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 52751169 + 106004941056 = 7263^2 + 325584^2 .

It is a tau number, because it is divible by the number of its divisors (45).

It is not a de Polignac number, because 106057692225 - 2¹⁵ = 106057659457 is a prime.

It is a super-2 number, since 2×106057692225² (a number of 23 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 14651307 + ... + 14658543.

Almost surely, 2^106057692225 is an apocalyptic number.

106057692225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

106057692225 is the 325665-th square number.

106057692225 is the 162833-rd centered octagonal number.

It is an amenable number.

106057692225 is a deficient number, since it is larger than the sum of its proper divisors (90424965432).

106057692225 is an frugal number, since it uses more digits than its factorization.

106057692225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14496 (or 7245 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The spelling of 106057692225 in words is "one hundred six billion, fifty-seven million, six hundred ninety-two thousand, two hundred twenty-five".