10100566107 has 40 divisors (see below), whose sum is σ = 15903494640. Its totient is φ = 6378765120.

The previous prime is 10100566051. The next prime is 10100566129. The reversal of 10100566107 is 70166500101.

It is not a de Polignac number, because 10100566107 - 2¹⁸ = 10100303963 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (10100566187) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 83932 + ... + 165062.

It is an arithmetic number, because the mean of its divisors is an integer number (397587366).

Almost surely, 2^10100566107 is an apocalyptic number.

10100566107 is a deficient number, since it is larger than the sum of its proper divisors (5802928533).

10100566107 is an equidigital number, since it uses as much as digits as its factorization.

10100566107 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81225 (or 81216 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

The spelling of 10100566107 in words is "ten billion, one hundred million, five hundred sixty-six thousand, one hundred seven".