105060060100110 has 32 divisors (see below), whose sum is σ = 252301636013472. Its totient is φ = 27998516940800.

The previous prime is 105060060100109. The next prime is 105060060100111. The reversal of 105060060100110 is 11001060060501.

It is an interprime number because it is at equal distance from previous prime (105060060100109) and next prime (105060060100111).

It is a super-2 number, since 2×105060060100110² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105060060100111) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1093644039 + ... + 1093740098.

It is an arithmetic number, because the mean of its divisors is an integer number (7884426125421).

Almost surely, 2^{105060060100110} is an apocalyptic number.

105060060100110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105060060100110 is an abundant number, since it is smaller than the sum of its proper divisors (147241575913362).

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

105060060100110 is a wasteful number, since it uses less digits than its factorization.

105060060100110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2187385748.

The product of its (nonzero) digits is 180, while the sum is 21.

The spelling of 105060060100110 in words is "one hundred five trillion, sixty billion, sixty million, one hundred thousand, one hundred ten".