105680633 has 2 divisors, whose sum is σ = 105680634. Its totient is φ = 105680632.

The previous prime is 105680557. The next prime is 105680639. The reversal of 105680633 is 336086501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 57350329 + 48330304 = 7573^2 + 6952^2 .

It is a cyclic number.

It is not a de Polignac number, because 105680633 - 2¹⁴ = 105664249 is a prime.

It is a super-2 number, since 2×105680633² = 22336792382561378, which contains 22 as substring.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 105680633.

It is not a weakly prime, because it can be changed into another prime (105680639) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52840316 + 52840317.

It is an arithmetic number, because the mean of its divisors is an integer number (52840317).

Almost surely, 2^105680633 is an apocalyptic number.

It is an amenable number.

105680633 is a deficient number, since it is larger than the sum of its proper divisors (1).

105680633 is an equidigital number, since it uses as much as digits as its factorization.

105680633 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12960, while the sum is 32.

The square root of 105680633 is about 10280.1086083757. The cubic root of 105680633 is about 472.7865741939.

The spelling of 105680633 in words is "one hundred five million, six hundred eighty thousand, six hundred thirty-three".