10322224400 has 60 divisors (see below), whose sum is σ = 24898187664. Its totient is φ = 4112400000.

The previous prime is 10322224379. The next prime is 10322224427. The reversal of 10322224400 is 442222301.

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 48995 + ... + 151805.

Almost surely, 2^10322224400 is an apocalyptic number.

10322224400 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 10322224400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12449093832).

10322224400 is an abundant number, since it is smaller than the sum of its proper divisors (14575963264).

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

10322224400 is a wasteful number, since it uses less digits than its factorization.

10322224400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103080 (or 103069 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 10322224400 its reverse (442222301), we get a palindrome (10764446701).

The spelling of 10322224400 in words is "ten billion, three hundred twenty-two million, two hundred twenty-four thousand, four hundred".