103233132103200 has 288 divisors, whose sum is σ = 366646180017600. Its totient is φ = 25021113139200.

The previous prime is 103233132103151. The next prime is 103233132103219. The reversal of 103233132103200 is 2301231332301.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 129940776 + ... + 130732824.

It is an arithmetic number, because the mean of its divisors is an integer number (1273077013950).

Almost surely, 2^{103233132103200} is an apocalyptic number.

103233132103200 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 103233132103200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183323090008800).

103233132103200 is an abundant number, since it is smaller than the sum of its proper divisors (263413047914400).

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

103233132103200 is a wasteful number, since it uses less digits than its factorization.

103233132103200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 797020 (or 797007 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 103233132103200 its reverse (2301231332301), we get a palindrome (105534363435501).

The spelling of 103233132103200 in words is "one hundred three trillion, two hundred thirty-three billion, one hundred thirty-two million, one hundred three thousand, two hundred".