100075971 has 8 divisors (see below), whose sum is σ = 133943040. Its totient is φ = 66463112.

The previous prime is 100075939. The next prime is 100075979. The reversal of 100075971 is 179570001.

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 100075971 - 2⁵ = 100075939 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100075979) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 62631 + ... + 64208.

It is an arithmetic number, because the mean of its divisors is an integer number (16742880).

Almost surely, 2^100075971 is an apocalyptic number.

100075971 is a deficient number, since it is larger than the sum of its proper divisors (33867069).

100075971 is a wasteful number, since it uses less digits than its factorization.

100075971 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127105.

The product of its (nonzero) digits is 2205, while the sum is 30.

The square root of 100075971 is about 10003.7978288248. The cubic root of 100075971 is about 464.2763956563.

The spelling of 100075971 in words is "one hundred million, seventy-five thousand, nine hundred seventy-one".