103002200 has 192 divisors, whose sum is σ = 294624000. Its totient is φ = 32739840.

The previous prime is 103002169. The next prime is 103002203. The reversal of 103002200 is 2200301.

It is a Cunningham number, because it is equal to 10149²-1.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103002203) 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 47 ways as a sum of consecutive naturals, for example, 1745771 + ... + 1745829.

It is an arithmetic number, because the mean of its divisors is an integer number (1534500).

Almost surely, 2^103002200 is an apocalyptic number.

103002200 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 103002200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147312000).

103002200 is an abundant number, since it is smaller than the sum of its proper divisors (191621800).

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

103002200 is a wasteful number, since it uses less digits than its factorization.

103002200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 8.

The square root of 103002200 is about 10148.9999507341. Note that the first 4 decimals coincide. The cubic root of 103002200 is about 468.7581521545.

Adding to 103002200 its reverse (2200301), we get a palindrome (105202501).

The spelling of 103002200 in words is "one hundred three million, two thousand, two hundred".