103202400 has 144 divisors (see below), whose sum is σ = 383975424. Its totient is φ = 23585280.

The previous prime is 103202389. The next prime is 103202401. The reversal of 103202400 is 4202301.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103202401) 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 23 ways as a sum of consecutive naturals, for example, 13729 + ... + 19871.

It is an arithmetic number, because the mean of its divisors is an integer number (2666496).

Almost surely, 2^103202400 is an apocalyptic number.

103202400 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 103202400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191987712).

103202400 is an abundant number, since it is smaller than the sum of its proper divisors (280773024).

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

103202400 is a wasteful number, since it uses less digits than its factorization.

103202400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6173 (or 6160 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 103202400 is about 10158.8582035581. The cubic root of 103202400 is about 469.0616558559.

Adding to 103202400 its reverse (4202301), we get a palindrome (107404701).

Subtracting from 103202400 its reverse (4202301), we obtain a palindrome (99000099).

It can be divided in two parts, 10320 and 2400, that added together give a triangular number (12720 = T₁₅₉).

The spelling of 103202400 in words is "one hundred three million, two hundred two thousand, four hundred".