103300032000 has 640 divisors, whose sum is σ = 381479155200. Its totient is φ = 24588288000.

The previous prime is 103300031993. The next prime is 103300032019. The reversal of 103300032000 is 230003301.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×103300032000² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 124607586 + ... + 124608414.

It is an arithmetic number, because the mean of its divisors is an integer number (596061180).

Almost surely, 2^103300032000 is an apocalyptic number.

103300032000 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 103300032000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190739577600).

103300032000 is an abundant number, since it is smaller than the sum of its proper divisors (278179123200).

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

103300032000 is an equidigital number, since it uses as much as digits as its factorization.

103300032000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 935 (or 909 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 12.

Adding to 103300032000 its reverse (230003301), we get a palindrome (103530035301).

The spelling of 103300032000 in words is "one hundred three billion, three hundred million, thirty-two thousand".