103004200 has 96 divisors (see below), whose sum is σ = 260530200. Its totient is φ = 37647360.

The previous prime is 103004183. The next prime is 103004261. The reversal of 103004200 is 2400301.

It can be written as a sum of positive squares in 12 ways, for example, as 28665316 + 74338884 = 5354^2 + 8622^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 449686 + ... + 449914.

Almost surely, 2^103004200 is an apocalyptic number.

103004200 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 103004200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130265100).

103004200 is an abundant number, since it is smaller than the sum of its proper divisors (157526000).

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

103004200 is a wasteful number, since it uses less digits than its factorization.

103004200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 431 (or 422 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

The square root of 103004200 is about 10149.0984821313. The cubic root of 103004200 is about 468.7611861034.

Adding to 103004200 its reverse (2400301), we get a palindrome (105404501).

The spelling of 103004200 in words is "one hundred three million, four thousand, two hundred".