10605556000061 has 12 divisors (see below), whose sum is σ = 11657489755296. Its totient is φ = 9641296210920.

The previous prime is 10605556000057. The next prime is 10605556000063. The reversal of 10605556000061 is 16000065550601.

It is not a de Polignac number, because 10605556000061 - 2² = 10605556000057 is a prime.

It is a super-2 number, since 2×10605556000061² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10605555999985 and 10605556000030.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10605556000063) 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, 10252166 + ... + 11239128.

It is an arithmetic number, because the mean of its divisors is an integer number (971457479608).

Almost surely, 2^{10605556000061} is an apocalyptic number.

10605556000061 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10605556000061 is a deficient number, since it is larger than the sum of its proper divisors (1051933755235).

10605556000061 is an equidigital number, since it uses as much as digits as its factorization.

10605556000061 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1075792 (or 1075781 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 35.

The spelling of 10605556000061 in words is "ten trillion, six hundred five billion, five hundred fifty-six million, sixty-one", and thus it is an aban number.