10819900 has 144 divisors (see below), whose sum is σ = 30623040. Its totient is φ = 3225600.

The previous prime is 10819891. The next prime is 10819937. The reversal of 10819900 is 991801.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 263880 + ... + 263920.

It is an arithmetic number, because the mean of its divisors is an integer number (212660).

Almost surely, 2^10819900 is an apocalyptic number.

10819900 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 10819900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15311520).

10819900 is an abundant number, since it is smaller than the sum of its proper divisors (19803140).

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

10819900 is a wasteful number, since it uses less digits than its factorization.

10819900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 28.

The square root of 10819900 is about 3289.3616401971. The cubic root of 10819900 is about 221.1775700011.

The spelling of 10819900 in words is "ten million, eight hundred nineteen thousand, nine hundred".