10105890 has 16 divisors (see below), whose sum is σ = 24254208. Its totient is φ = 2694896.

The previous prime is 10105883. The next prime is 10105913. The reversal of 10105890 is 9850101.

It is an alternating number because its digits alternate between odd and even.

It is a self number, because there is not a number n which added to its sum of digits gives 10105890.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 168402 + ... + 168461.

It is an arithmetic number, because the mean of its divisors is an integer number (1515888).

Almost surely, 2^10105890 is an apocalyptic number.

10105890 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10105890 is an abundant number, since it is smaller than the sum of its proper divisors (14148318).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10105890 is a wasteful number, since it uses less digits than its factorization.

10105890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336873.

The product of its (nonzero) digits is 360, while the sum is 24.

The square root of 10105890 is about 3178.9762503045. The cubic root of 10105890 is about 216.2012442012.

Adding to 10105890 its reverse (9850101), we get a palindrome (19955991).

The spelling of 10105890 in words is "ten million, one hundred five thousand, eight hundred ninety".