103320000 has 420 divisors, whose sum is σ = 433248816. Its totient is φ = 23040000.

The previous prime is 103319987. The next prime is 103320001. The reversal of 103320000 is 23301.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (420).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103320001) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2519980 + ... + 2520020.

Almost surely, 2^103320000 is an apocalyptic number.

103320000 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 103320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216624408).

103320000 is an abundant number, since it is smaller than the sum of its proper divisors (329928816).

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

103320000 is an equidigital number, since it uses as much as digits as its factorization.

103320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 9.

The square root of 103320000 is about 10164.6446076584. The cubic root of 103320000 is about 469.2397547877.

Adding to 103320000 its reverse (23301), we get a palindrome (103343301).

The spelling of 103320000 in words is "one hundred three million, three hundred twenty thousand".