103002013200 has 360 divisors, whose sum is σ = 347004491680. Its totient is φ = 26114457600.

The previous prime is 103002013181. The next prime is 103002013243. The reversal of 103002013200 is 2310200301.

It is a happy number.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 133942416 + ... + 133943184.

Almost surely, 2^103002013200 is an apocalyptic number.

103002013200 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 103002013200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173502245840).

103002013200 is an abundant number, since it is smaller than the sum of its proper divisors (244002478480).

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

103002013200 is a wasteful number, since it uses less digits than its factorization.

103002013200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1047 (or 1013 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 103002013200 its reverse (2310200301), we get a palindrome (105312213501).

The spelling of 103002013200 in words is "one hundred three billion, two million, thirteen thousand, two hundred".