10105800 has 48 divisors (see below), whose sum is σ = 31329840. Its totient is φ = 2694720.

The previous prime is 10105793. The next prime is 10105801. The reversal of 10105800 is 850101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10105800.

It is not an unprimeable number, because it can be changed into a prime (10105801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7822 + ... + 9021.

It is an arithmetic number, because the mean of its divisors is an integer number (652705).

Almost surely, 2^10105800 is an apocalyptic number.

10105800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10105800 is an abundant number, since it is smaller than the sum of its proper divisors (21224040).

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

10105800 is a wasteful number, since it uses less digits than its factorization.

10105800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16862 (or 16853 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 15.

The square root of 10105800 is about 3178.9620947724. The cubic root of 10105800 is about 216.2006023916.

Adding to 10105800 its reverse (850101), we get a palindrome (10955901).

The spelling of 10105800 in words is "ten million, one hundred five thousand, eight hundred".