105013323023 has 16 divisors (see below), whose sum is σ = 120534543360. Its totient is φ = 89622180000.

The previous prime is 105013323013. The next prime is 105013323031. The reversal of 105013323023 is 320323310501.

It is a cyclic number.

It is not a de Polignac number, because 105013323023 - 2⁸ = 105013322767 is a prime.

It is a super-2 number, since 2×105013323023² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105013323023.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105013323013) 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, 6213098 + ... + 6229976.

It is an arithmetic number, because the mean of its divisors is an integer number (7533408960).

Almost surely, 2^105013323023 is an apocalyptic number.

105013323023 is a deficient number, since it is larger than the sum of its proper divisors (15521220337).

105013323023 is a wasteful number, since it uses less digits than its factorization.

105013323023 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20678.

The product of its (nonzero) digits is 1620, while the sum is 23.

Adding to 105013323023 its reverse (320323310501), we get a palindrome (425336633524).

The spelling of 105013323023 in words is "one hundred five billion, thirteen million, three hundred twenty-three thousand, twenty-three".