100303120 has 40 divisors (see below), whose sum is σ = 236502720. Its totient is φ = 39553920.

The previous prime is 100303117. The next prime is 100303121. The reversal of 100303120 is 21303001.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 100303097 and 100303106.

It is not an unprimeable number, because it can be changed into a prime (100303121) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 3150 + ... + 14509.

It is an arithmetic number, because the mean of its divisors is an integer number (5912568).

Almost surely, 2^100303120 is an apocalyptic number.

100303120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100303120 is an abundant number, since it is smaller than the sum of its proper divisors (136199600).

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

100303120 is a wasteful number, since it uses less digits than its factorization.

100303120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17743 (or 17737 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 10.

The square root of 100303120 is about 10015.1445321573. The cubic root of 100303120 is about 464.6273964298.

Adding to 100303120 its reverse (21303001), we get a palindrome (121606121).

The spelling of 100303120 in words is "one hundred million, three hundred three thousand, one hundred twenty".