10090900 has 72 divisors (see below), whose sum is σ = 23748480. Its totient is φ = 3709440.

The previous prime is 10090897. The next prime is 10090933. The reversal of 10090900 is 909001.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 89244 + ... + 89356.

It is an arithmetic number, because the mean of its divisors is an integer number (329840).

Almost surely, 2^10090900 is an apocalyptic number.

10090900 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 10090900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11874240).

10090900 is an abundant number, since it is smaller than the sum of its proper divisors (13657580).

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

10090900 is a wasteful number, since it uses less digits than its factorization.

10090900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 19.

The square root of 10090900 is about 3176.6176981186. The cubic root of 10090900 is about 216.0942946779.

Adding to 10090900 its reverse (909001), we get a palindrome (10999901).

The spelling of 10090900 in words is "ten million, ninety thousand, nine hundred".