105055510110 has 48 divisors (see below), whose sum is σ = 254998589616. Its totient is φ = 27699966976.

The previous prime is 105055510081. The next prime is 105055510111. The reversal of 105055510110 is 11015550501.

It is a super-2 number, since 2×105055510110² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105055510111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16582 + ... + 458678.

It is an arithmetic number, because the mean of its divisors is an integer number (5312470617).

Almost surely, 2^105055510110 is an apocalyptic number.

105055510110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105055510110 is an abundant number, since it is smaller than the sum of its proper divisors (149943079506).

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

105055510110 is an equidigital number, since it uses as much as digits as its factorization.

105055510110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 442285 (or 442196 counting only the distinct ones).

The product of its (nonzero) digits is 625, while the sum is 24.

The spelling of 105055510110 in words is "one hundred five billion, fifty-five million, five hundred ten thousand, one hundred ten".