100090071 has 12 divisors (see below), whose sum is σ = 144933360. Its totient is φ = 66561120.

The previous prime is 100090031. The next prime is 100090079. The reversal of 100090071 is 170090001.

It is not a de Polignac number, because 100090071 - 2⁶ = 100090007 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100090079) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9915 + ... + 17276.

It is an arithmetic number, because the mean of its divisors is an integer number (12077780).

Almost surely, 2^100090071 is an apocalyptic number.

100090071 is a deficient number, since it is larger than the sum of its proper divisors (44843289).

100090071 is a wasteful number, since it uses less digits than its factorization.

100090071 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27606 (or 27603 counting only the distinct ones).

The product of its (nonzero) digits is 63, while the sum is 18.

The square root of 100090071 is about 10004.5025363583. The cubic root of 100090071 is about 464.2981990579.

The spelling of 100090071 in words is "one hundred million, ninety thousand, seventy-one".