10105283123 has 16 divisors (see below), whose sum is σ = 11652258240. Its totient is φ = 8680590336.

The previous prime is 10105283113. The next prime is 10105283137. The reversal of 10105283123 is 32138250101.

It is a cyclic number.

It is not a de Polignac number, because 10105283123 - 2¹⁴ = 10105266739 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10105283092 and 10105283101.

It is not an unprimeable number, because it can be changed into a prime (10105283113) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 237215 + ... + 276552.

It is an arithmetic number, because the mean of its divisors is an integer number (728266140).

Almost surely, 2^10105283123 is an apocalyptic number.

10105283123 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

10105283123 is a deficient number, since it is larger than the sum of its proper divisors (1546975117).

10105283123 is a wasteful number, since it uses less digits than its factorization.

10105283123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 513886.

The product of its (nonzero) digits is 1440, while the sum is 26.

The spelling of 10105283123 in words is "ten billion, one hundred five million, two hundred eighty-three thousand, one hundred twenty-three".