10505412004 has 24 divisors (see below), whose sum is σ = 19478211480. Its totient is φ = 4940599296.

The previous prime is 10505411977. The next prime is 10505412031. The reversal of 10505412004 is 40021450501.

It is an interprime number because it is at equal distance from previous prime (10505411977) and next prime (10505412031).

It can be written as a sum of positive squares in 4 ways, for example, as 3220789504 + 7284622500 = 56752^2 + 85350^2 .

It is a super-2 number, since 2×10505412004² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 61404 + ... + 157420.

It is an arithmetic number, because the mean of its divisors is an integer number (811592145).

Almost surely, 2^10505412004 is an apocalyptic number.

It is an amenable number.

10505412004 is a deficient number, since it is larger than the sum of its proper divisors (8972799476).

10505412004 is a wasteful number, since it uses less digits than its factorization.

10505412004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97647 (or 97645 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 22.

Adding to 10505412004 its reverse (40021450501), we get a palindrome (50526862505).

The spelling of 10505412004 in words is "ten billion, five hundred five million, four hundred twelve thousand, four".