105505511110 has 32 divisors (see below), whose sum is σ = 190442016000. Its totient is φ = 42084099552.

The previous prime is 105505511087. The next prime is 105505511131. The reversal of 105505511110 is 11115505501.

It is a super-2 number, since 2×105505511110² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6813597 + ... + 6829063.

It is an arithmetic number, because the mean of its divisors is an integer number (5951313000).

Almost surely, 2^105505511110 is an apocalyptic number.

105505511110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105505511110 is a deficient number, since it is larger than the sum of its proper divisors (84936504890).

105505511110 is a wasteful number, since it uses less digits than its factorization.

105505511110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17340.

The product of its (nonzero) digits is 625, while the sum is 25.

The spelling of 105505511110 in words is "one hundred five billion, five hundred five million, five hundred eleven thousand, one hundred ten".