100083305 has 16 divisors (see below), whose sum is σ = 137867520. Its totient is φ = 68323392.

The previous prime is 100083299. The next prime is 100083307. The reversal of 100083305 is 503380001.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100083305 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100083307) 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, 1772 + ... + 14258.

It is an arithmetic number, because the mean of its divisors is an integer number (8616720).

Almost surely, 2^100083305 is an apocalyptic number.

It is an amenable number.

100083305 is a deficient number, since it is larger than the sum of its proper divisors (37784215).

100083305 is a wasteful number, since it uses less digits than its factorization.

100083305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12728.

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

The square root of 100083305 is about 10004.1643828958. The cubic root of 100083305 is about 464.2877367734.

The spelling of 100083305 in words is "one hundred million, eighty-three thousand, three hundred five".