103233200303200 has 144 divisors (see below), whose sum is σ = 274946723908416. Its totient is φ = 37536895756800.

The previous prime is 103233200303153. The next prime is 103233200303249. The reversal of 103233200303200 is 2303002332301.

It is a super-2 number, since 2×103233200303200² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 137283439 + ... + 138033361.

It is an arithmetic number, because the mean of its divisors is an integer number (1909352249364).

Almost surely, 2^{103233200303200} is an apocalyptic number.

103233200303200 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 103233200303200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137473361954208).

103233200303200 is an abundant number, since it is smaller than the sum of its proper divisors (171713523605216).

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

103233200303200 is a wasteful number, since it uses less digits than its factorization.

103233200303200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 765597 (or 765584 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 22.

Adding to 103233200303200 its reverse (2303002332301), we get a palindrome (105536202635501).

The spelling of 103233200303200 in words is "one hundred three trillion, two hundred thirty-three billion, two hundred million, three hundred three thousand, two hundred".