10605005056050 has 96 divisors (see below), whose sum is σ = 27444899699712. Its totient is φ = 2704947094080.

The previous prime is 10605005056033. The next prime is 10605005056067. The reversal of 10605005056050 is 5065050050601.

It is an interprime number because it is at equal distance from previous prime (10605005056033) and next prime (10605005056067).

It is a super-2 number, since 2×10605005056050² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 182983177 + ... + 183041123.

It is an arithmetic number, because the mean of its divisors is an integer number (285884371872).

Almost surely, 2^{10605005056050} is an apocalyptic number.

10605005056050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10605005056050 is an abundant number, since it is smaller than the sum of its proper divisors (16839894643662).

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

10605005056050 is a wasteful number, since it uses less digits than its factorization.

10605005056050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111032 (or 111027 counting only the distinct ones).

The product of its (nonzero) digits is 22500, while the sum is 33.

The spelling of 10605005056050 in words is "ten trillion, six hundred five billion, five million, fifty-six thousand, fifty".