105513010523 has 4 divisors (see below), whose sum is σ = 105518818848. Its totient is φ = 105507202200.

The previous prime is 105513010489. The next prime is 105513010541. The reversal of 105513010523 is 325010315501.

It is a happy number.

It is a semiprime because it is the product of two primes.

It is a cyclic number.

It is not a de Polignac number, because 105513010523 - 2²⁸ = 105244575067 is a prime.

It is a super-2 number, since 2×105513010523² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 105513010492 and 105513010501.

It is not an unprimeable number, because it can be changed into a prime (105513010423) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2876828 + ... + 2913273.

It is an arithmetic number, because the mean of its divisors is an integer number (26379704712).

Almost surely, 2^105513010523 is an apocalyptic number.

105513010523 is a deficient number, since it is larger than the sum of its proper divisors (5808325).

105513010523 is an equidigital number, since it uses as much as digits as its factorization.

105513010523 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5808324.

The product of its (nonzero) digits is 2250, while the sum is 26.

The spelling of 105513010523 in words is "one hundred five billion, five hundred thirteen million, ten thousand, five hundred twenty-three".