100022400 has 288 divisors, whose sum is σ = 374886720. Its totient is φ = 25344000.

The previous prime is 100022389. The next prime is 100022401. The reversal of 100022400 is 4220001.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (100022401) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 662325 + ... + 662475.

It is an arithmetic number, because the mean of its divisors is an integer number (1301690).

Almost surely, 2^100022400 is an apocalyptic number.

100022400 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 100022400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187443360).

100022400 is an abundant number, since it is smaller than the sum of its proper divisors (274864320).

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

100022400 is a wasteful number, since it uses less digits than its factorization.

100022400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 100022400 is about 10001.1199372870. The cubic root of 100022400 is about 464.1935379705.

Adding to 100022400 its reverse (4220001), we get a palindrome (104242401).

The spelling of 100022400 in words is "one hundred million, twenty-two thousand, four hundred".