10213054400 has 84 divisors (see below), whose sum is σ = 25161209520. Its totient is φ = 4080230400.

The previous prime is 10213054373. The next prime is 10213054417. The reversal of 10213054400 is 445031201.

10213054400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-4 number, since 4×10213054400⁴ (a number of 41 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1482965 + ... + 1489835.

Almost surely, 2^10213054400 is an apocalyptic number.

10213054400 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 10213054400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12580604760).

10213054400 is an abundant number, since it is smaller than the sum of its proper divisors (14948155120).

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

10213054400 is an equidigital number, since it uses as much as digits as its factorization.

10213054400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7822 (or 7807 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

Adding to 10213054400 its reverse (445031201), we get a palindrome (10658085601).

The spelling of 10213054400 in words is "ten billion, two hundred thirteen million, fifty-four thousand, four hundred".