105000093 has 24 divisors (see below), whose sum is σ = 168176736. Its totient is φ = 62589600.

The previous prime is 105000073. The next prime is 105000107. The reversal of 105000093 is 390000501.

It is not a de Polignac number, because 105000093 - 2²⁰ = 103951517 is a prime.

It is a super-2 number, since 2×105000093² = 22050039060017298, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105000073) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2655 + ... + 14732.

It is an arithmetic number, because the mean of its divisors is an integer number (7007364).

Almost surely, 2^105000093 is an apocalyptic number.

It is an amenable number.

105000093 is a deficient number, since it is larger than the sum of its proper divisors (63176643).

105000093 is a wasteful number, since it uses less digits than its factorization.

105000093 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17465 (or 17462 counting only the distinct ones).

The product of its (nonzero) digits is 135, while the sum is 18.

The square root of 105000093 is about 10246.9553038939. The cubic root of 105000093 is about 471.7695373159.

Adding to 105000093 its reverse (390000501), we get a palindrome (495000594).

The spelling of 105000093 in words is "one hundred five million, ninety-three", and thus it is an aban number.