10106510505560 has 48 divisors (see below), whose sum is σ = 26452244338560. Its totient is φ = 3465089315520.

The previous prime is 10106510505491. The next prime is 10106510505593. The reversal of 10106510505560 is 6550501560101.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 10106510505560.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2578189496 + ... + 2578193415.

It is an arithmetic number, because the mean of its divisors is an integer number (551088423720).

Almost surely, 2^{10106510505560} is an apocalyptic number.

10106510505560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10106510505560 is an abundant number, since it is smaller than the sum of its proper divisors (16345733833000).

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

10106510505560 is a wasteful number, since it uses less digits than its factorization.

10106510505560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5156382936 (or 5156382925 counting only the distinct ones).

The product of its (nonzero) digits is 22500, while the sum is 35.

The spelling of 10106510505560 in words is "ten trillion, one hundred six billion, five hundred ten million, five hundred five thousand, five hundred sixty".