100916873 has 8 divisors (see below), whose sum is σ = 104292096. Its totient is φ = 97549200.

The previous prime is 100916861. The next prime is 100916899. The reversal of 100916873 is 378619001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 100916873 - 2⁴ = 100916857 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100916843) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 41378 + ... + 43748.

It is an arithmetic number, because the mean of its divisors is an integer number (13036512).

Almost surely, 2^100916873 is an apocalyptic number.

It is an amenable number.

100916873 is a deficient number, since it is larger than the sum of its proper divisors (3375223).

100916873 is a wasteful number, since it uses less digits than its factorization.

100916873 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3775.

The product of its (nonzero) digits is 9072, while the sum is 35.

The square root of 100916873 is about 10045.7390469791. The cubic root of 100916873 is about 465.5731522709.

The spelling of 100916873 in words is "one hundred million, nine hundred sixteen thousand, eight hundred seventy-three".