10105036259 has 16 divisors (see below), whose sum is σ = 10582548480. Its totient is φ = 9640296000.

The previous prime is 10105036243. The next prime is 10105036261. The reversal of 10105036259 is 95263050101.

It is a cyclic number.

It is not a de Polignac number, because 10105036259 - 2⁴ = 10105036243 is a prime.

It is a super-2 number, since 2×10105036259² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10105036859) 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 15 ways as a sum of consecutive naturals, for example, 451094 + ... + 472964.

It is an arithmetic number, because the mean of its divisors is an integer number (661409280).

Almost surely, 2^10105036259 is an apocalyptic number.

10105036259 is a deficient number, since it is larger than the sum of its proper divisors (477512221).

10105036259 is a wasteful number, since it uses less digits than its factorization.

10105036259 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22162.

The product of its (nonzero) digits is 8100, while the sum is 32.

The spelling of 10105036259 in words is "ten billion, one hundred five million, thirty-six thousand, two hundred fifty-nine".