10556111106 has 16 divisors (see below), whose sum is σ = 23458024800. Its totient is φ = 3518703684.

The previous prime is 10556111101. The next prime is 10556111107. The reversal of 10556111106 is 60111165501.

10556111106 is a `hidden beast` number, since 1 + 0 + 556 + 1 + 1 + 1 + 106 = 666.

It is a super-2 number, since 2×10556111106² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 10556111106.

It is not an unprimeable number, because it can be changed into a prime (10556111101) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 97741716 + ... + 97741823.

It is an arithmetic number, because the mean of its divisors is an integer number (1466126550).

Almost surely, 2^10556111106 is an apocalyptic number.

10556111106 is an abundant number, since it is smaller than the sum of its proper divisors (12901913694).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10556111106 is a wasteful number, since it uses less digits than its factorization.

10556111106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195483550 (or 195483544 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 27.

Adding to 10556111106 its reverse (60111165501), we get a palindrome (70667276607).

The spelling of 10556111106 in words is "ten billion, five hundred fifty-six million, one hundred eleven thousand, one hundred six".