105416963 has 2 divisors, whose sum is σ = 105416964. Its totient is φ = 105416962.

The previous prime is 105416953. The next prime is 105416977. The reversal of 105416963 is 369614501.

It is a weak prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-105416963 is a prime.

It is a super-2 number, since 2×105416963² = 22225472176286738, which contains 22 as substring.

It is a Chen prime.

It is an alternating number because its digits alternate between odd and even.

It is not a weakly prime, because it can be changed into another prime (105416903) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52708481 + 52708482.

It is an arithmetic number, because the mean of its divisors is an integer number (52708482).

Almost surely, 2^105416963 is an apocalyptic number.

105416963 is a deficient number, since it is larger than the sum of its proper divisors (1).

105416963 is an equidigital number, since it uses as much as digits as its factorization.

105416963 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 19440, while the sum is 35.

The square root of 105416963 is about 10267.2763184790. The cubic root of 105416963 is about 472.3930506427.

The spelling of 105416963 in words is "one hundred five million, four hundred sixteen thousand, nine hundred sixty-three".