105837253 has 2 divisors, whose sum is σ = 105837254. Its totient is φ = 105837252.

The previous prime is 105837229. The next prime is 105837299. The reversal of 105837253 is 352738501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 105822369 + 14884 = 10287^2 + 122^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-105837253 is a prime.

It is a super-2 number, since 2×105837253² = 22403048245172018, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105837203) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52918626 + 52918627.

It is an arithmetic number, because the mean of its divisors is an integer number (52918627).

Almost surely, 2^105837253 is an apocalyptic number.

It is an amenable number.

105837253 is a deficient number, since it is larger than the sum of its proper divisors (1).

105837253 is an equidigital number, since it uses as much as digits as its factorization.

105837253 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 25200, while the sum is 34.

The square root of 105837253 is about 10287.7234119119. The cubic root of 105837253 is about 473.0200174190.

The spelling of 105837253 in words is "one hundred five million, eight hundred thirty-seven thousand, two hundred fifty-three".