10505110500 has 144 divisors (see below), whose sum is σ = 33309494400. Its totient is φ = 2787048000.

The previous prime is 10505110493. The next prime is 10505110501. The reversal of 10505110500 is 501150501.

10505110500 is a `hidden beast` number, since 1 + 0 + 50 + 5 + 110 + 500 = 666.

It is a super-2 number, since 2×10505110500² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (10505110501) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 889635 + ... + 901365.

Almost surely, 2^10505110500 is an apocalyptic number.

10505110500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10505110500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16654747200).

10505110500 is an abundant number, since it is smaller than the sum of its proper divisors (22804383900).

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

10505110500 is a wasteful number, since it uses less digits than its factorization.

10505110500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11955 (or 11940 counting only the distinct ones).

The product of its (nonzero) digits is 125, while the sum is 18.

The spelling of 10505110500 in words is "ten billion, five hundred five million, one hundred ten thousand, five hundred".