105155655606111 has 16 divisors (see below), whose sum is σ = 154468073766528. Its totient is φ = 63099703332000.

The previous prime is 105155655606101. The next prime is 105155655606173. The reversal of 105155655606111 is 111606556551501.

It is not a de Polignac number, because 105155655606111 - 2²² = 105155651411807 is a prime.

It is a super-2 number, since 2×105155655606111² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105155655606101) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15774922501 + ... + 15774929166.

It is an arithmetic number, because the mean of its divisors is an integer number (9654254610408).

Almost surely, 2^{105155655606111} is an apocalyptic number.

105155655606111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

105155655606111 is a deficient number, since it is larger than the sum of its proper divisors (49312418160417).

105155655606111 is a wasteful number, since it uses less digits than its factorization.

105155655606111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31549851782.

The product of its (nonzero) digits is 675000, while the sum is 48.

The spelling of 105155655606111 in words is "one hundred five trillion, one hundred fifty-five billion, six hundred fifty-five million, six hundred six thousand, one hundred eleven".