10505105610 has 32 divisors (see below), whose sum is σ = 25219529280. Its totient is φ = 2800553088.

The previous prime is 10505105603. The next prime is 10505105621. The reversal of 10505105610 is 1650150501.

It is a super-2 number, since 2×10505105610² (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 15 ways as a sum of consecutive naturals, for example, 59061 + ... + 156519.

It is an arithmetic number, because the mean of its divisors is an integer number (788110290).

Almost surely, 2^10505105610 is an apocalyptic number.

10505105610 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10505105610 is an abundant number, since it is smaller than the sum of its proper divisors (14714423670).

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

10505105610 is a wasteful number, since it uses less digits than its factorization.

10505105610 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101062.

The product of its (nonzero) digits is 750, while the sum is 24.

The spelling of 10505105610 in words is "ten billion, five hundred five million, one hundred five thousand, six hundred ten".