10090903200 has 432 divisors, whose sum is σ = 38953444320. Its totient is φ = 2261575680.

The previous prime is 10090903171. The next prime is 10090903247. The reversal of 10090903200 is 230909001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6231991 + ... + 6233609.

It is an arithmetic number, because the mean of its divisors is an integer number (90170010).

Almost surely, 2^10090903200 is an apocalyptic number.

10090903200 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 10090903200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19476722160).

10090903200 is an abundant number, since it is smaller than the sum of its proper divisors (28862541120).

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

10090903200 is a wasteful number, since it uses less digits than its factorization.

10090903200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1709 (or 1689 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 24.

The spelling of 10090903200 in words is "ten billion, ninety million, nine hundred three thousand, two hundred".