10105216560 has 100 divisors (see below), whose sum is σ = 35096936688. Its totient is φ = 2694722688.

The previous prime is 10105216531. The next prime is 10105216607. The reversal of 10105216560 is 6561250101.

It is a happy number.

10105216560 is a `hidden beast` number, since 1 + 0 + 1 + 0 + 5 + 2 + 1 + 656 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 773244 + ... + 786203.

Almost surely, 2^10105216560 is an apocalyptic number.

10105216560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10105216560 is an abundant number, since it is smaller than the sum of its proper divisors (24991720128).

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

10105216560 is a wasteful number, since it uses less digits than its factorization.

10105216560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1559472 (or 1559457 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

Adding to 10105216560 its reverse (6561250101), we get a palindrome (16666466661).

The spelling of 10105216560 in words is "ten billion, one hundred five million, two hundred sixteen thousand, five hundred sixty".