103632400 has 45 divisors (see below), whose sum is σ = 249466951. Its totient is φ = 41371520.

The previous prime is 103632383. The next prime is 103632407. The reversal of 103632400 is 4236301.

The square root of 103632400 is 10180.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 3952144 + 99680256 = 1988^2 + 9984^2 .

It is a super-3 number, since 3×103632400³ (a number of 25 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (103632407) 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 8 ways as a sum of consecutive naturals, for example, 203346 + ... + 203854.

Almost surely, 2^103632400 is an apocalyptic number.

103632400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

103632400 is the 10180-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103632400

103632400 is an abundant number, since it is smaller than the sum of its proper divisors (145834551).

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

103632400 is an frugal number, since it uses more digits than its factorization.

103632400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1036 (or 516 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

The cubic root of 103632400 is about 469.7122125326.

Adding to 103632400 its reverse (4236301), we get a palindrome (107868701).

The spelling of 103632400 in words is "one hundred three million, six hundred thirty-two thousand, four hundred".