10145222400 has 216 divisors, whose sum is σ = 34388656624. Its totient is φ = 2632089600.

The previous prime is 10145222371. The next prime is 10145222401. The reversal of 10145222400 is 422254101.

10145222400 is nontrivially palindromic in base 7.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10145222401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 703260 + ... + 717540.

Almost surely, 2^10145222400 is an apocalyptic number.

10145222400 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 10145222400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17194328312).

10145222400 is an abundant number, since it is smaller than the sum of its proper divisors (24243434224).

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

10145222400 is a wasteful number, since it uses less digits than its factorization.

10145222400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14347 (or 14328 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

Adding to 10145222400 its reverse (422254101), we get a palindrome (10567476501).

The spelling of 10145222400 in words is "ten billion, one hundred forty-five million, two hundred twenty-two thousand, four hundred".