105982493 has 2 divisors, whose sum is σ = 105982494. Its totient is φ = 105982492.

The previous prime is 105982483. The next prime is 105982507. The reversal of 105982493 is 394289501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 93180409 + 12802084 = 9653^2 + 3578^2 .

It is a cyclic number.

It is not a de Polignac number, because 105982493 - 2⁴ = 105982477 is a prime.

It is a super-2 number, since 2×105982493² = 22464577644990098, 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 105982493.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105982463) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52991246 + 52991247.

It is an arithmetic number, because the mean of its divisors is an integer number (52991247).

Almost surely, 2^105982493 is an apocalyptic number.

It is an amenable number.

105982493 is a deficient number, since it is larger than the sum of its proper divisors (1).

105982493 is an equidigital number, since it uses as much as digits as its factorization.

105982493 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 77760, while the sum is 41.

The square root of 105982493 is about 10294.7798907990. The cubic root of 105982493 is about 473.2362929524.

The spelling of 105982493 in words is "one hundred five million, nine hundred eighty-two thousand, four hundred ninety-three".