10105893 has 24 divisors (see below), whose sum is σ = 17042688. Its totient is φ = 5650272.

The previous prime is 10105883. The next prime is 10105913. The reversal of 10105893 is 39850101.

It is not a de Polignac number, because 10105893 - 2¹⁰ = 10104869 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10105883) 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, 1255 + ... + 4667.

It is an arithmetic number, because the mean of its divisors is an integer number (710112).

Almost surely, 2^10105893 is an apocalyptic number.

It is an amenable number.

10105893 is a deficient number, since it is larger than the sum of its proper divisors (6936795).

10105893 is a wasteful number, since it uses less digits than its factorization.

10105893 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3473 (or 3470 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The square root of 10105893 is about 3178.9767221545. The cubic root of 10105893 is about 216.2012655948.

Adding to 10105893 its reverse (39850101), we get a palindrome (49955994).

It can be divided in two parts, 1010 and 5893, that added together give a triangular number (6903 = T₁₁₇).

The spelling of 10105893 in words is "ten million, one hundred five thousand, eight hundred ninety-three".