106564420625 has 20 divisors (see below), whose sum is σ = 143406210948. Its totient is φ = 78693720000.

The previous prime is 106564420619. The next prime is 106564420657. The reversal of 106564420625 is 526024465601.

It can be written as a sum of positive squares in 10 ways, for example, as 70677285904 + 35887134721 = 265852^2 + 189439^2 .

It is not a de Polignac number, because 106564420625 - 2⁶ = 106564420561 is a prime.

It is a super-2 number, since 2×106564420625² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 6549686 + ... + 6565935.

Almost surely, 2^106564420625 is an apocalyptic number.

It is an amenable number.

106564420625 is a deficient number, since it is larger than the sum of its proper divisors (36841790323).

106564420625 is an equidigital number, since it uses as much as digits as its factorization.

106564420625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13115654 (or 13115639 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 41.

The spelling of 106564420625 in words is "one hundred six billion, five hundred sixty-four million, four hundred twenty thousand, six hundred twenty-five".