10808100 has 72 divisors (see below), whose sum is σ = 34754720. Its totient is φ = 2881440.

The previous prime is 10808089. The next prime is 10808101. The reversal of 10808100 is 180801.

It is a happy number.

It is a super-2 number, since 2×10808100² = 233630051220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (10808101) 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 23 ways as a sum of consecutive naturals, for example, 699 + ... + 4701.

Almost surely, 2^10808100 is an apocalyptic number.

10808100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10808100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17377360).

10808100 is an abundant number, since it is smaller than the sum of its proper divisors (23946620).

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

10808100 is a wasteful number, since it uses less digits than its factorization.

10808100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4026 (or 4013 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

The square root of 10808100 is about 3287.5674898015. The cubic root of 10808100 is about 221.0971365815.

Adding to 10808100 its reverse (180801), we get a palindrome (10988901).

It can be divided in two parts, 1080 and 8100, that added together give a triangular number (9180 = T₁₃₅).

The spelling of 10808100 in words is "ten million, eight hundred eight thousand, one hundred".