106556111111565 has 48 divisors (see below), whose sum is σ = 192741057505152. Its totient is φ = 54355256790912.

The previous prime is 106556111111563. The next prime is 106556111111591. The reversal of 106556111111565 is 565111111655601.

106556111111565 is a `hidden beast` number, since 1 + 0 + 6 + 5 + 5 + 61 + 1 + 11 + 11 + 565 = 666.

It is not a de Polignac number, because 106556111111565 - 2¹ = 106556111111563 is a prime.

It is a super-2 number, since 2×106556111111565² (a number of 29 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 106556111111565.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106556111111563) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11230339 + ... + 18418271.

It is an arithmetic number, because the mean of its divisors is an integer number (4015438698024).

Almost surely, 2^{106556111111565} is an apocalyptic number.

106556111111565 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

106556111111565 is a deficient number, since it is larger than the sum of its proper divisors (86184946393587).

106556111111565 is a wasteful number, since it uses less digits than its factorization.

106556111111565 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7202290 (or 7202287 counting only the distinct ones).

The product of its (nonzero) digits is 135000, while the sum is 45.

The spelling of 106556111111565 in words is "one hundred six trillion, five hundred fifty-six billion, one hundred eleven million, one hundred eleven thousand, five hundred sixty-five".