102222400 has 84 divisors (see below), whose sum is σ = 287495488. Its totient is φ = 35043840.

The previous prime is 102222391. The next prime is 102222409. The reversal of 102222400 is 4222201.

It is an interprime number because it is at equal distance from previous prime (102222391) and next prime (102222409).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102222409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6637 + ... + 15763.

Almost surely, 2^102222400 is an apocalyptic number.

102222400 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 102222400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143747744).

102222400 is an abundant number, since it is smaller than the sum of its proper divisors (185273088).

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

102222400 is an equidigital number, since it uses as much as digits as its factorization.

102222400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9156 (or 9141 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 13.

The square root of 102222400 is about 10110.5093838046. The cubic root of 102222400 is about 467.5722099560.

Adding to 102222400 its reverse (4222201), we get a palindrome (106444601).

The spelling of 102222400 in words is "one hundred two million, two hundred twenty-two thousand, four hundred".