105155111 has 8 divisors (see below), whose sum is σ = 106713600. Its totient is φ = 103608288.

The previous prime is 105155087. The next prime is 105155117. The reversal of 105155111 is 111551501.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 105155111 - 2²⁶ = 38046247 is a prime.

It is a super-2 number, since 2×105155111² = 22115194738844642, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105155117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16145 + ... + 21701.

It is an arithmetic number, because the mean of its divisors is an integer number (13339200).

Almost surely, 2^105155111 is an apocalyptic number.

105155111 is a deficient number, since it is larger than the sum of its proper divisors (1558489).

105155111 is a wasteful number, since it uses less digits than its factorization.

105155111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5833.

The product of its (nonzero) digits is 125, while the sum is 20.

The square root of 105155111 is about 10254.5166146435. The cubic root of 105155111 is about 472.0015904739.

The spelling of 105155111 in words is "one hundred five million, one hundred fifty-five thousand, one hundred eleven".