10505510010 has 48 divisors (see below), whose sum is σ = 27829703304. Its totient is φ = 2748610176.

The previous prime is 10505509967. The next prime is 10505510021. The reversal of 10505510010 is 1001550501.

10505510010 is a `hidden beast` number, since 105 + 0 + 551 + 0 + 0 + 10 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 10233952569 + 271557441 = 101163^2 + 16479^2 .

It is a super-2 number, since 2×10505510010² (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 an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1096437 + ... + 1105976.

Almost surely, 2^10505510010 is an apocalyptic number.

10505510010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10505510010 is an abundant number, since it is smaller than the sum of its proper divisors (17324193294).

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

10505510010 is a wasteful number, since it uses less digits than its factorization.

10505510010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2202479 (or 2202476 counting only the distinct ones).

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

The spelling of 10505510010 in words is "ten billion, five hundred five million, five hundred ten thousand, ten".