105116465055 has 32 divisors (see below), whose sum is σ = 192407113728. Its totient is φ = 48004704000.

The previous prime is 105116464997. The next prime is 105116465081. The reversal of 105116465055 is 550564611501.

It is not a de Polignac number, because 105116465055 - 2⁸ = 105116464799 is a prime.

It is a super-2 number, since 2×105116465055² (a number of 23 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 401046 + ... + 609155.

It is an arithmetic number, because the mean of its divisors is an integer number (6012722304).

Almost surely, 2^105116465055 is an apocalyptic number.

105116465055 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

105116465055 is a deficient number, since it is larger than the sum of its proper divisors (87290648673).

105116465055 is a wasteful number, since it uses less digits than its factorization.

105116465055 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1011207.

The product of its (nonzero) digits is 90000, while the sum is 39.

The spelling of 105116465055 in words is "one hundred five billion, one hundred sixteen million, four hundred sixty-five thousand, fifty-five".