10105106979 has 32 divisors (see below), whose sum is σ = 14986427904. Its totient is φ = 6005249280.

The previous prime is 10105106959. The next prime is 10105106981. The reversal of 10105106979 is 97960150101.

10105106979 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10105106979 - 2⁹ = 10105106467 is a prime.

It is a super-2 number, since 2×10105106979² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10105106909) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 404634 + ... + 428880.

It is an arithmetic number, because the mean of its divisors is an integer number (468325872).

Almost surely, 2^10105106979 is an apocalyptic number.

10105106979 is a deficient number, since it is larger than the sum of its proper divisors (4881320925).

10105106979 is a wasteful number, since it uses less digits than its factorization.

10105106979 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24507.

The product of its (nonzero) digits is 17010, while the sum is 39.

The spelling of 10105106979 in words is "ten billion, one hundred five million, one hundred six thousand, nine hundred seventy-nine".