105538493 has 6 divisors (see below), whose sum is σ = 106055226. Its totient is φ = 105023232.

The previous prime is 105538457. The next prime is 105538507. The reversal of 105538493 is 394835501.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 56580484 + 48958009 = 7522^2 + 6997^2 .

It is not a de Polignac number, because 105538493 - 2²² = 101344189 is a prime.

It is a super-2 number, since 2×105538493² = 22276747009422098, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105538793) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 182621 + ... + 183197.

It is an arithmetic number, because the mean of its divisors is an integer number (17675871).

Almost surely, 2^105538493 is an apocalyptic number.

It is an amenable number.

105538493 is a deficient number, since it is larger than the sum of its proper divisors (516733).

105538493 is an frugal number, since it uses more digits than its factorization.

105538493 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1471 (or 894 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 38.

The square root of 105538493 is about 10273.1929311193. The cubic root of 105538493 is about 472.5745137843.

The spelling of 105538493 in words is "one hundred five million, five hundred thirty-eight thousand, four hundred ninety-three".