90105291 has 40 divisors (see below), whose sum is σ = 141134400. Its totient is φ = 57214080.

The previous prime is 90105289. The next prime is 90105299. The reversal of 90105291 is 19250109.

It is a happy number.

It is not a de Polignac number, because 90105291 - 2¹ = 90105289 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (90105299) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 208846 + ... + 209276.

It is an arithmetic number, because the mean of its divisors is an integer number (3528360).

Almost surely, 2^90105291 is an apocalyptic number.

90105291 is a deficient number, since it is larger than the sum of its proper divisors (51029109).

90105291 is a wasteful number, since it uses less digits than its factorization.

90105291 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 561 (or 552 counting only the distinct ones).

The product of its (nonzero) digits is 810, while the sum is 27.

The square root of 90105291 is about 9492.3806813676. The cubic root of 90105291 is about 448.3151663966.

The spelling of 90105291 in words is "ninety million, one hundred five thousand, two hundred ninety-one".