103200001000 has 128 divisors (see below), whose sum is σ = 256535136000. Its totient is φ = 38747808000.

The previous prime is 103200000941. The next prime is 103200001001. The reversal of 103200001000 is 100002301.

It is not an unprimeable number, because it can be changed into a prime (103200001001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2046085 + ... + 2095915.

It is an arithmetic number, because the mean of its divisors is an integer number (2004180750).

Almost surely, 2^103200001000 is an apocalyptic number.

103200001000 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 103200001000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128267568000).

103200001000 is an abundant number, since it is smaller than the sum of its proper divisors (153335135000).

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

103200001000 is a wasteful number, since it uses less digits than its factorization.

103200001000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49980 (or 49966 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 7.

Adding to 103200001000 its reverse (100002301), we get a palindrome (103300003301).

The spelling of 103200001000 in words is "one hundred three billion, two hundred million, one thousand".