10501105099856 has 120 divisors (see below), whose sum is σ = 24025672258560. Its totient is φ = 4432908404736.

The previous prime is 10501105099819. The next prime is 10501105099897. The reversal of 10501105099856 is 65899050110501.

It is a super-2 number, since 2×10501105099856² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

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, 13460576 + ... + 14219328.

It is an arithmetic number, because the mean of its divisors is an integer number (200213935488).

Almost surely, 2^{10501105099856} is an apocalyptic number.

10501105099856 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10501105099856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12012836129280).

10501105099856 is an abundant number, since it is smaller than the sum of its proper divisors (13524567158704).

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

10501105099856 is a wasteful number, since it uses less digits than its factorization.

10501105099856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 759041 (or 759028 counting only the distinct ones).

The product of its (nonzero) digits is 486000, while the sum is 50.

The spelling of 10501105099856 in words is "ten trillion, five hundred one billion, one hundred five million, ninety-nine thousand, eight hundred fifty-six".