105738563 has 16 divisors (see below), whose sum is σ = 124498944. Its totient is φ = 87907680.

The previous prime is 105738557. The next prime is 105738569. The reversal of 105738563 is 365837501.

It is an interprime number because it is at equal distance from previous prime (105738557) and next prime (105738569).

It is not a de Polignac number, because 105738563 - 2⁶ = 105738499 is a prime.

It is a super-2 number, since 2×105738563² = 22361287410609938, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105738569) 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 in 15 ways as a sum of consecutive naturals, for example, 163106 + ... + 163752.

It is an arithmetic number, because the mean of its divisors is an integer number (7781184).

Almost surely, 2^105738563 is an apocalyptic number.

105738563 is a deficient number, since it is larger than the sum of its proper divisors (18760381).

105738563 is an equidigital number, since it uses as much as digits as its factorization.

105738563 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1322.

The product of its (nonzero) digits is 75600, while the sum is 38.

The square root of 105738563 is about 10282.9257995961. The cubic root of 105738563 is about 472.8729461321.

The spelling of 105738563 in words is "one hundred five million, seven hundred thirty-eight thousand, five hundred sixty-three".