10635361123 has 16 divisors (see below), whose sum is σ = 10980748800. Its totient is φ = 10295666784.

The previous prime is 10635361117. The next prime is 10635361147. The reversal of 10635361123 is 32116353601.

It is a cyclic number.

It is not a de Polignac number, because 10635361123 - 2¹⁷ = 10635230051 is a prime.

It is a super-2 number, since 2×10635361123² (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 (10635361423) 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, 6258928 + ... + 6260626.

It is an arithmetic number, because the mean of its divisors is an integer number (686296800).

Almost surely, 2^10635361123 is an apocalyptic number.

10635361123 is a deficient number, since it is larger than the sum of its proper divisors (345387677).

10635361123 is a wasteful number, since it uses less digits than its factorization.

10635361123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3258.

The product of its (nonzero) digits is 9720, while the sum is 31.

The spelling of 10635361123 in words is "ten billion, six hundred thirty-five million, three hundred sixty-one thousand, one hundred twenty-three".