105105551110 has 64 divisors (see below), whose sum is σ = 228708790272. Its totient is φ = 33997176576.

The previous prime is 105105551101. The next prime is 105105551153. The reversal of 105105551110 is 11155501501.

It is a super-2 number, since 2×105105551110² (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 (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 329614 + ... + 564673.

It is an arithmetic number, because the mean of its divisors is an integer number (3573574848).

Almost surely, 2^105105551110 is an apocalyptic number.

105105551110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105105551110 is an abundant number, since it is smaller than the sum of its proper divisors (123603239162).

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

105105551110 is a wasteful number, since it uses less digits than its factorization.

105105551110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 894397.

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

The spelling of 105105551110 in words is "one hundred five billion, one hundred five million, five hundred fifty-one thousand, one hundred ten".