105313023521 has 8 divisors (see below), whose sum is σ = 108186031464. Its totient is φ = 102441421440.

The previous prime is 105313023479. The next prime is 105313023523. The reversal of 105313023521 is 125320313501.

It can be written as a sum of positive squares in 4 ways, for example, as 29984731921 + 75328291600 = 173161^2 + 274460^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 105313023521 - 2³⁰ = 104239281697 is a prime.

It is a super-2 number, since 2×105313023521² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105313023523) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 198710 + ... + 500111.

It is an arithmetic number, because the mean of its divisors is an integer number (13523253933).

Almost surely, 2^105313023521 is an apocalyptic number.

It is an amenable number.

105313023521 is a deficient number, since it is larger than the sum of its proper divisors (2873007943).

105313023521 is an equidigital number, since it uses as much as digits as its factorization.

105313023521 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 702931.

The product of its (nonzero) digits is 2700, while the sum is 26.

The spelling of 105313023521 in words is "one hundred five billion, three hundred thirteen million, twenty-three thousand, five hundred twenty-one".