106561100564 has 6 divisors (see below), whose sum is σ = 186481925994. Its totient is φ = 53280550280.

The previous prime is 106561100549. The next prime is 106561100617. The reversal of 106561100564 is 465001165601.

It can be written as a sum of positive squares in only one way, i.e., 79580410000 + 26980690564 = 282100^2 + 164258^2 .

It is a super-2 number, since 2×106561100564² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 13320137567 + ... + 13320137574.

It is an arithmetic number, because the mean of its divisors is an integer number (31080320999).

Almost surely, 2^106561100564 is an apocalyptic number.

It is an amenable number.

106561100564 is a deficient number, since it is larger than the sum of its proper divisors (79920825430).

106561100564 is a wasteful number, since it uses less digits than its factorization.

106561100564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26640275145 (or 26640275143 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 35.

The spelling of 106561100564 in words is "one hundred six billion, five hundred sixty-one million, one hundred thousand, five hundred sixty-four".