10105616601 has 12 divisors (see below), whose sum is σ = 14991515812. Its totient is φ = 6554994336.

The previous prime is 10105616597. The next prime is 10105616603. The reversal of 10105616601 is 10661650101.

10105616601 is a `hidden beast` number, since 1 + 0 + 1 + 0 + 56 + 1 + 6 + 601 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 9456590025 + 649026576 = 97245^2 + 25476^2 .

It is not a de Polignac number, because 10105616601 - 2² = 10105616597 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10105616603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15173266 + ... + 15173931.

Almost surely, 2^10105616601 is an apocalyptic number.

It is an amenable number.

10105616601 is a deficient number, since it is larger than the sum of its proper divisors (4885899211).

10105616601 is a wasteful number, since it uses less digits than its factorization.

10105616601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30347240 (or 30347237 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The spelling of 10105616601 in words is "ten billion, one hundred five million, six hundred sixteen thousand, six hundred one".