100305 has 16 divisors (see below), whose sum is σ = 178560. Its totient is φ = 53424.

The previous prime is 100297. The next prime is 100313. The reversal of 100305 is 503001.

It is an interprime number because it is at equal distance from previous prime (100297) and next prime (100313).

It is not a de Polignac number, because 100305 - 2³ = 100297 is a prime.

It is a super-2 number, since 2×100305² = 20122186050, which contains 22 as substring.

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

100305 is a lucky number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 237 + ... + 506.

It is an arithmetic number, because the mean of its divisors is an integer number (11160).

2¹⁰⁰³⁰⁵ is an apocalyptic number.

100305 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

100305 is a deficient number, since it is larger than the sum of its proper divisors (78255).

100305 is an equidigital number, since it uses as much as digits as its factorization.

100305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 757 (or 751 counting only the distinct ones).

The product of its (nonzero) digits is 15, while the sum is 9.

The square root of 100305 is about 316.7096462061. The cubic root of 100305 is about 46.4630299278.

Adding to 100305 its reverse (503001), we get a palindrome (603306).

The spelling of 100305 in words is "one hundred thousand, three hundred five".