10505000506 has 96 divisors (see below), whose sum is σ = 21532823424. Its totient is φ = 3739824000.

The previous prime is 10505000449. The next prime is 10505000533. The reversal of 10505000506 is 60500050501.

It is a super-2 number, since 2×10505000506² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2221861 + ... + 2226583.

It is an arithmetic number, because the mean of its divisors is an integer number (224300244).

Almost surely, 2^10505000506 is an apocalyptic number.

10505000506 is an abundant number, since it is smaller than the sum of its proper divisors (11027822918).

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

10505000506 is a wasteful number, since it uses less digits than its factorization.

10505000506 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4868 (or 4857 counting only the distinct ones).

The product of its (nonzero) digits is 750, while the sum is 22.

Multiplying 10505000506 by its sum of digits (22), we get a palindrome (231110011132).

The spelling of 10505000506 in words is "ten billion, five hundred five million, five hundred six", and thus it is an aban number.