100399305 has 32 divisors (see below), whose sum is σ = 166872960. Its totient is φ = 51484160.

The previous prime is 100399279. The next prime is 100399307. The reversal of 100399305 is 503993001.

100399305 is nontrivially palindromic in base 14.

It is not a de Polignac number, because 100399305 - 2⁷ = 100399177 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100399307) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 192445 + ... + 192965.

It is an arithmetic number, because the mean of its divisors is an integer number (5214780).

Almost surely, 2^100399305 is an apocalyptic number.

100399305 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

100399305 is a deficient number, since it is larger than the sum of its proper divisors (66473655).

100399305 is a wasteful number, since it uses less digits than its factorization.

100399305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1001.

The product of its (nonzero) digits is 3645, while the sum is 30.

The square root of 100399305 is about 10019.9453591325. The cubic root of 100399305 is about 464.7758660840.

The spelling of 100399305 in words is "one hundred million, three hundred ninety-nine thousand, three hundred five".