105000253 has 2 divisors, whose sum is σ = 105000254. Its totient is φ = 105000252.

The previous prime is 105000241. The next prime is 105000283. The reversal of 105000253 is 352000501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 93180409 + 11819844 = 9653^2 + 3438^2 .

It is a cyclic number.

It is not a de Polignac number, because 105000253 - 2¹³ = 104992061 is a prime.

It is a super-2 number, since 2×105000253² = 22050106260128018, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105000283) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52500126 + 52500127.

It is an arithmetic number, because the mean of its divisors is an integer number (52500127).

Almost surely, 2^105000253 is an apocalyptic number.

It is an amenable number.

105000253 is a deficient number, since it is larger than the sum of its proper divisors (1).

105000253 is an equidigital number, since it uses as much as digits as its factorization.

105000253 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 150, while the sum is 16.

The square root of 105000253 is about 10246.9631110881. The cubic root of 105000253 is about 471.7697769445.

Adding to 105000253 its reverse (352000501), we get a palindrome (457000754).

The spelling of 105000253 in words is "one hundred five million, two hundred fifty-three", and thus it is an aban number.