105333457 has 2 divisors, whose sum is σ = 105333458. Its totient is φ = 105333456.

The previous prime is 105333427. The next prime is 105333497. The reversal of 105333457 is 754333501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 88284816 + 17048641 = 9396^2 + 4129^2 .

It is a cyclic number.

It is not a de Polignac number, because 105333457 - 2¹⁹ = 104809169 is a prime.

It is a super-2 number, since 2×105333457² = 22190274327141698, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105333407) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52666728 + 52666729.

It is an arithmetic number, because the mean of its divisors is an integer number (52666729).

Almost surely, 2^105333457 is an apocalyptic number.

It is an amenable number.

105333457 is a deficient number, since it is larger than the sum of its proper divisors (1).

105333457 is an equidigital number, since it uses as much as digits as its factorization.

105333457 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 18900, while the sum is 31.

The square root of 105333457 is about 10263.2089036519. The cubic root of 105333457 is about 472.2682823774.

Adding to 105333457 its reverse (754333501), we get a palindrome (859666958).

The spelling of 105333457 in words is "one hundred five million, three hundred thirty-three thousand, four hundred fifty-seven".