100416305 has 16 divisors (see below), whose sum is σ = 133043904. Its totient is φ = 72146880.

The previous prime is 100416301. The next prime is 100416319. The reversal of 100416305 is 503614001.

It is not a de Polignac number, because 100416305 - 2² = 100416301 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100416301) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6434 + ... + 15563.

It is an arithmetic number, because the mean of its divisors is an integer number (8315244).

Almost surely, 2^100416305 is an apocalyptic number.

It is an amenable number.

100416305 is a deficient number, since it is larger than the sum of its proper divisors (32627599).

100416305 is a wasteful number, since it uses less digits than its factorization.

100416305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22096.

The product of its (nonzero) digits is 360, while the sum is 20.

The square root of 100416305 is about 10020.7936312450. The cubic root of 100416305 is about 464.8020971547.

The spelling of 100416305 in words is "one hundred million, four hundred sixteen thousand, three hundred five".