1106000105100 has 72 divisors (see below), whose sum is σ = 3490938523968. Its totient is φ = 268121236800.

The previous prime is 1106000105069. The next prime is 1106000105101. The reversal of 1106000105100 is 15010006011.

It is a super-2 number, since 2×1106000105100² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1106000105100.

It is not an unprimeable number, because it can be changed into a prime (1106000105101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 167572474 + ... + 167579073.

Almost surely, 2^{1106000105100} is an apocalyptic number.

1106000105100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1106000105100 is an abundant number, since it is smaller than the sum of its proper divisors (2384938418868).

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

1106000105100 is a wasteful number, since it uses less digits than its factorization.

1106000105100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335151575 (or 335151568 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 15.

The spelling of 1106000105100 in words is "one trillion, one hundred six billion, one hundred five thousand, one hundred".