105572633 has 2 divisors, whose sum is σ = 105572634. Its totient is φ = 105572632.

The previous prime is 105572617. The next prime is 105572647. The reversal of 105572633 is 336275501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 93161104 + 12411529 = 9652^2 + 3523^2 .

It is an emirp because it is prime and its reverse (336275501) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 105572633 - 2⁴ = 105572617 is a prime.

It is a super-2 number, since 2×105572633² = 22291161677105378, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105572633.

It is not a weakly prime, because it can be changed into another prime (105572603) 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, 52786316 + 52786317.

It is an arithmetic number, because the mean of its divisors is an integer number (52786317).

Almost surely, 2^105572633 is an apocalyptic number.

It is an amenable number.

105572633 is a deficient number, since it is larger than the sum of its proper divisors (1).

105572633 is an equidigital number, since it uses as much as digits as its factorization.

105572633 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18900, while the sum is 32.

The square root of 105572633 is about 10274.8544028614. The cubic root of 105572633 is about 472.6254650347.

The spelling of 105572633 in words is "one hundred five million, five hundred seventy-two thousand, six hundred thirty-three".