105251533 has 2 divisors, whose sum is σ = 105251534. Its totient is φ = 105251532.

The previous prime is 105251467. The next prime is 105251561. The reversal of 105251533 is 335152501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 77404804 + 27846729 = 8798^2 + 5277^2 .

It is a cyclic number.

It is not a de Polignac number, because 105251533 - 2⁹ = 105251021 is a prime.

It is a super-2 number, since 2×105251533² = 22155770397700178, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105251498 and 105251507.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105251833) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52625766 + 52625767.

It is an arithmetic number, because the mean of its divisors is an integer number (52625767).

Almost surely, 2^105251533 is an apocalyptic number.

It is an amenable number.

105251533 is a deficient number, since it is larger than the sum of its proper divisors (1).

105251533 is an equidigital number, since it uses as much as digits as its factorization.

105251533 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2250, while the sum is 25.

The square root of 105251533 is about 10259.2169779180. The cubic root of 105251533 is about 472.1458137185.

The spelling of 105251533 in words is "one hundred five million, two hundred fifty-one thousand, five hundred thirty-three".