106557005061 has 20 divisors (see below), whose sum is σ = 171422192172. Its totient is φ = 65573540928.

The previous prime is 106557005059. The next prime is 106557005083. The reversal of 106557005061 is 160500755601.

It can be written as a sum of positive squares in 2 ways, for example, as 8270993025 + 98286012036 = 90945^2 + 313506^2 .

It is not a de Polignac number, because 106557005061 - 2¹ = 106557005059 is a prime.

It is a super-2 number, since 2×106557005061² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106557005011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 50595816 + ... + 50597921.

Almost surely, 2^106557005061 is an apocalyptic number.

It is an amenable number.

106557005061 is a deficient number, since it is larger than the sum of its proper divisors (64865187111).

106557005061 is a wasteful number, since it uses less digits than its factorization.

106557005061 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101193762 (or 101193753 counting only the distinct ones).

The product of its (nonzero) digits is 31500, while the sum is 36.

The spelling of 106557005061 in words is "one hundred six billion, five hundred fifty-seven million, five thousand, sixty-one".