106010005600601 has 64 divisors (see below), whose sum is σ = 120689277972480. Its totient is φ = 92630382324480.

The previous prime is 106010005600591. The next prime is 106010005600699. The reversal of 106010005600601 is 106006500010601.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-106010005600601 is a prime.

It is a super-2 number, since 2×106010005600601² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106010005602601) 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 63 ways as a sum of consecutive naturals, for example, 521182946 + ... + 521386308.

It is an arithmetic number, because the mean of its divisors is an integer number (1885769968320).

Almost surely, 2^{106010005600601} is an apocalyptic number.

It is an amenable number.

106010005600601 is a deficient number, since it is larger than the sum of its proper divisors (14679272371879).

106010005600601 is a wasteful number, since it uses less digits than its factorization.

106010005600601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203846.

The product of its (nonzero) digits is 1080, while the sum is 26.

The spelling of 106010005600601 in words is "one hundred six trillion, ten billion, five million, six hundred thousand, six hundred one".