103210400 has 72 divisors (see below), whose sum is σ = 266818860. Its totient is φ = 38850560.

The previous prime is 103210399. The next prime is 103210403. The reversal of 103210400 is 4012301.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 19963024 + 83247376 = 4468^2 + 9124^2 .

It is not an unprimeable number, because it can be changed into a prime (103210403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9806 + ... + 17394.

Almost surely, 2^103210400 is an apocalyptic number.

103210400 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 103210400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133409430).

103210400 is an abundant number, since it is smaller than the sum of its proper divisors (163608460).

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

103210400 is a wasteful number, since it uses less digits than its factorization.

103210400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7626 (or 7613 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 103210400 is about 10159.2519409649. The cubic root of 103210400 is about 469.0737757171.

Adding to 103210400 its reverse (4012301), we get a palindrome (107222701).

The spelling of 103210400 in words is "one hundred three million, two hundred ten thousand, four hundred".