105807253 has 4 divisors (see below), whose sum is σ = 107297568. Its totient is φ = 104316940.

The previous prime is 105807209. The next prime is 105807263. The reversal of 105807253 is 352708501.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 105807253 - 2¹³ = 105799061 is a prime.

It is a super-3 number, since 3×105807253³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Smith number, since the sum of its digits (31) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105807203) 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, 745051 + ... + 745192.

It is an arithmetic number, because the mean of its divisors is an integer number (26824392).

Almost surely, 2^105807253 is an apocalyptic number.

It is an amenable number.

105807253 is a deficient number, since it is larger than the sum of its proper divisors (1490315).

105807253 is an equidigital number, since it uses as much as digits as its factorization.

105807253 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1490314.

The product of its (nonzero) digits is 8400, while the sum is 31.

The square root of 105807253 is about 10286.2652600446. The cubic root of 105807253 is about 472.9753200460.

The spelling of 105807253 in words is "one hundred five million, eight hundred seven thousand, two hundred fifty-three".