105500093 has 8 divisors (see below), whose sum is σ = 108431736. Its totient is φ = 102585600.

The previous prime is 105500089. The next prime is 105500123. The reversal of 105500093 is 390005501.

It can be written as a sum of positive squares in 4 ways, for example, as 88804 + 105411289 = 298^2 + 10267^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 105500093 - 2² = 105500089 is a prime.

It is a super-2 number, since 2×105500093² = 22260539246017298, 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 (105500023) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8723 + ... + 16943.

It is an arithmetic number, because the mean of its divisors is an integer number (13553967).

Almost surely, 2^105500093 is an apocalyptic number.

It is an amenable number.

105500093 is a deficient number, since it is larger than the sum of its proper divisors (2931643).

105500093 is an equidigital number, since it uses as much as digits as its factorization.

105500093 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8575.

The product of its (nonzero) digits is 675, while the sum is 23.

The square root of 105500093 is about 10271.3238192552. The cubic root of 105500093 is about 472.5171916890.

Adding to 105500093 its reverse (390005501), we get a palindrome (495505594).

The spelling of 105500093 in words is "one hundred five million, five hundred thousand, ninety-three".