10030820800 has 336 divisors, whose sum is σ = 33144878592. Its totient is φ = 2885529600.

The previous prime is 10030820797. The next prime is 10030820801. The reversal of 10030820800 is 802803001.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10030820801) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1598469 + ... + 1604731.

It is an arithmetic number, because the mean of its divisors is an integer number (98645472).

Almost surely, 2^10030820800 is an apocalyptic number.

10030820800 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 10030820800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16572439296).

10030820800 is an abundant number, since it is smaller than the sum of its proper divisors (23114057792).

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

10030820800 is a wasteful number, since it uses less digits than its factorization.

10030820800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6316 (or 6301 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

The spelling of 10030820800 in words is "ten billion, thirty million, eight hundred twenty thousand, eight hundred".