105111105555 has 16 divisors (see below), whose sum is σ = 168182382240. Its totient is φ = 56057718528.

The previous prime is 105111105551. The next prime is 105111105599. The reversal of 105111105555 is 555501111501.

It is a happy number.

It is not a de Polignac number, because 105111105555 - 2² = 105111105551 is a prime.

It is a super-2 number, since 2×105111105555² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105111105551) 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, 661669 + ... + 805001.

It is an arithmetic number, because the mean of its divisors is an integer number (10511398890).

Almost surely, 2^105111105555 is an apocalyptic number.

105111105555 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

105111105555 is a deficient number, since it is larger than the sum of its proper divisors (63071276685).

105111105555 is a wasteful number, since it uses less digits than its factorization.

105111105555 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192230.

The product of its (nonzero) digits is 3125, while the sum is 30.

The spelling of 105111105555 in words is "one hundred five billion, one hundred eleven million, one hundred five thousand, five hundred fifty-five".