10019800 has 96 divisors (see below), whose sum is σ = 28257120. Its totient is φ = 3225600.

The previous prime is 10019791. The next prime is 10019813. The reversal of 10019800 is 891001.

10019800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23590 + ... + 24010.

It is an arithmetic number, because the mean of its divisors is an integer number (294345).

Almost surely, 2^10019800 is an apocalyptic number.

10019800 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 10019800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14128560).

10019800 is an abundant number, since it is smaller than the sum of its proper divisors (18237320).

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

10019800 is a wasteful number, since it uses less digits than its factorization.

10019800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 461 (or 452 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 19.

The square root of 10019800 is about 3165.4067669101. The cubic root of 10019800 is about 215.5855679487.

It can be divided in two parts, 1001 and 9800, that added together give a palindrome (10801).

The spelling of 10019800 in words is "ten million, nineteen thousand, eight hundred".