10555056060100 has 36 divisors (see below), whose sum is σ = 22904917249284. Its totient is φ = 4221940286080.

The previous prime is 10555056060097. The next prime is 10555056060103. The reversal of 10555056060100 is 106065055501.

It is an interprime number because it is at equal distance from previous prime (10555056060097) and next prime (10555056060103).

It can be written as a sum of positive squares in 6 ways, for example, as 106180829316 + 10448875230784 = 325854^2 + 3232472^2 .

It is a super-2 number, since 2×10555056060100² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10555056060103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4275354 + ... + 6276046.

It is an arithmetic number, because the mean of its divisors is an integer number (636247701369).

Almost surely, 2^{10555056060100} is an apocalyptic number.

10555056060100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10555056060100 is an abundant number, since it is smaller than the sum of its proper divisors (12349861189184).

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

10555056060100 is a wasteful number, since it uses less digits than its factorization.

10555056060100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2053464 (or 2053457 counting only the distinct ones).

The product of its (nonzero) digits is 22500, while the sum is 34.

The spelling of 10555056060100 in words is "ten trillion, five hundred fifty-five billion, fifty-six million, sixty thousand, one hundred".