105712373 has 6 divisors (see below), whose sum is σ = 114469794. Its totient is φ = 97580496.

The previous prime is 105712363. The next prime is 105712381. The reversal of 105712373 is 373217501.

It can be written as a sum of positive squares in 3 ways, for example, as 485809 + 105226564 = 697^2 + 10258^2 .

It is not a de Polignac number, because 105712373 - 2¹⁰ = 105711349 is a prime.

It is a super-2 number, since 2×105712373² = 22350211610582258, which contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105712363) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 312590 + ... + 312927.

It is an arithmetic number, because the mean of its divisors is an integer number (19078299).

Almost surely, 2^105712373 is an apocalyptic number.

105712373 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

105712373 is a deficient number, since it is larger than the sum of its proper divisors (8757421).

105712373 is an equidigital number, since it uses as much as digits as its factorization.

105712373 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 625543 (or 625530 counting only the distinct ones).

The product of its (nonzero) digits is 4410, while the sum is 29.

The square root of 105712373 is about 10281.6522504897. The cubic root of 105712373 is about 472.8339015151.

Adding to 105712373 its reverse (373217501), we get a palindrome (478929874).

The spelling of 105712373 in words is "one hundred five million, seven hundred twelve thousand, three hundred seventy-three".