105150006600561 has 36 divisors (see below), whose sum is σ = 164478952315548. Its totient is φ = 64702362321792.

The previous prime is 105150006600493. The next prime is 105150006600581. The reversal of 105150006600561 is 165006600051501.

It can be written as a sum of positive squares in 6 ways, for example, as 66320159150961 + 38829847449600 = 8143719^2 + 6231360^2 .

It is not a de Polignac number, because 105150006600561 - 2⁹ = 105150006600049 is a prime.

It is a super-2 number, since 2×105150006600561² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105150006600581) 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 35 ways as a sum of consecutive naturals, for example, 15647491 + ... + 21334103.

It is an arithmetic number, because the mean of its divisors is an integer number (4568859786543).

Almost surely, 2^{105150006600561} is an apocalyptic number.

It is an amenable number.

105150006600561 is a deficient number, since it is larger than the sum of its proper divisors (59328945714987).

105150006600561 is a wasteful number, since it uses less digits than its factorization.

105150006600561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5698802 (or 5698786 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 36.

The spelling of 105150006600561 in words is "one hundred five trillion, one hundred fifty billion, six million, six hundred thousand, five hundred sixty-one".