110505510010 has 24 divisors (see below), whose sum is σ = 231385007700. Its totient is φ = 37887603264.

The previous prime is 110505509963. The next prime is 110505510109. The reversal of 110505510010 is 10015505011.

It is a happy number.

110505510010 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 110467822689 + 37687321 = 332367^2 + 6139^2 .

It is a super-2 number, since 2×110505510010² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 110505510010.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 112760235 + ... + 112761214.

Almost surely, 2^110505510010 is an apocalyptic number.

110505510010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

110505510010 is an abundant number, since it is smaller than the sum of its proper divisors (120879497690).

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

110505510010 is a wasteful number, since it uses less digits than its factorization.

110505510010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225521470 (or 225521463 counting only the distinct ones).

The product of its (nonzero) digits is 125, while the sum is 19.

The spelling of 110505510010 in words is "one hundred ten billion, five hundred five million, five hundred ten thousand, ten".