10110505110 has 64 divisors (see below), whose sum is σ = 25121221632. Its totient is φ = 2602596096.

The previous prime is 10110505073. The next prime is 10110505129. The reversal of 10110505110 is 1150501101.

It is a super-2 number, since 2×10110505110² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 10110505110.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 53817 + ... + 152043.

It is an arithmetic number, because the mean of its divisors is an integer number (392519088).

Almost surely, 2^10110505110 is an apocalyptic number.

10110505110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10110505110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12560610816).

10110505110 is an abundant number, since it is smaller than the sum of its proper divisors (15010716522).

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

10110505110 is a wasteful number, since it uses less digits than its factorization.

10110505110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98357.

The product of its (nonzero) digits is 25, while the sum is 15.

The spelling of 10110505110 in words is "ten billion, one hundred ten million, five hundred five thousand, one hundred ten".