103335320 has 64 divisors (see below), whose sum is σ = 264695040. Its totient is φ = 35939200.

The previous prime is 103335313. The next prime is 103335377. The reversal of 103335320 is 23533301.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 103335292 and 103335301.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5015 + ... + 15225.

It is an arithmetic number, because the mean of its divisors is an integer number (4135860).

Almost surely, 2^103335320 is an apocalyptic number.

103335320 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 103335320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132347520).

103335320 is an abundant number, since it is smaller than the sum of its proper divisors (161359720).

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

103335320 is a wasteful number, since it uses less digits than its factorization.

103335320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10256 (or 10252 counting only the distinct ones).

The product of its (nonzero) digits is 810, while the sum is 20.

The square root of 103335320 is about 10165.3981722311. The cubic root of 103335320 is about 469.2629461600.

Adding to 103335320 its reverse (23533301), we get a palindrome (126868621).

The spelling of 103335320 in words is "one hundred three million, three hundred thirty-five thousand, three hundred twenty".