10105010560 has 64 divisors (see below), whose sum is σ = 24990346800. Its totient is φ = 3902617600.

The previous prime is 10105010549. The next prime is 10105010561. The reversal of 10105010560 is 6501050101.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×10105010560² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10105010561) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 253666 + ... + 290785.

Almost surely, 2^10105010560 is an apocalyptic number.

10105010560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10105010560 is an abundant number, since it is smaller than the sum of its proper divisors (14885336240).

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

10105010560 is an equidigital number, since it uses as much as digits as its factorization.

10105010560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 544499 (or 544487 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 19.

Adding to 10105010560 its reverse (6501050101), we get a palindrome (16606060661).

The spelling of 10105010560 in words is "ten billion, one hundred five million, ten thousand, five hundred sixty".