10805100 has 36 divisors (see below), whose sum is σ = 31263624. Its totient is φ = 2881280.

The previous prime is 10805089. The next prime is 10805111. The reversal of 10805100 is 150801.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10805089) and next prime (10805111).

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 10805100.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17709 + ... + 18308.

It is an arithmetic number, because the mean of its divisors is an integer number (868434).

Almost surely, 2^10805100 is an apocalyptic number.

10805100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10805100 is an abundant number, since it is smaller than the sum of its proper divisors (20458524).

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

10805100 is a wasteful number, since it uses less digits than its factorization.

10805100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36034 (or 36027 counting only the distinct ones).

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

The square root of 10805100 is about 3287.1111937384. Note that the first 4 decimals coincide. The cubic root of 10805100 is about 221.0766780739.

Adding to 10805100 its reverse (150801), we get a palindrome (10955901).

The spelling of 10805100 in words is "ten million, eight hundred five thousand, one hundred".