90116005 has 32 divisors (see below), whose sum is σ = 127217664. Its totient is φ = 60008256.

The previous prime is 90115999. The next prime is 90116009. The reversal of 90116005 is 50061109.

It is not a de Polignac number, because 90116005 - 2²³ = 81727397 is a prime.

It is a zygodrome in base 4.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90116009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 194404 + ... + 194866.

It is an arithmetic number, because the mean of its divisors is an integer number (3975552).

Almost surely, 2^90116005 is an apocalyptic number.

It is an amenable number.

90116005 is a deficient number, since it is larger than the sum of its proper divisors (37101659).

90116005 is a wasteful number, since it uses less digits than its factorization.

90116005 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 625.

The product of its (nonzero) digits is 270, while the sum is 22.

The square root of 90116005 is about 9492.9450119549. The cubic root of 90116005 is about 448.3329347143.

The spelling of 90116005 in words is "ninety million, one hundred sixteen thousand, five".