90099 has 16 divisors (see below), whose sum is σ = 138240. Its totient is φ = 57960.

The previous prime is 90089. The next prime is 90107. The reversal of 90099 is 99009.

It is not a de Polignac number, because 90099 - 2⁵ = 90067 is a prime.

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

90099 is a modest number, since divided by 99 gives 9 as remainder.

90099 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90019) 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 15 ways as a sum of consecutive naturals, for example, 1234 + ... + 1304.

It is an arithmetic number, because the mean of its divisors is an integer number (8640).

2⁹⁰⁰⁹⁹ is an apocalyptic number.

90099 is a deficient number, since it is larger than the sum of its proper divisors (48141).

90099 is a wasteful number, since it uses less digits than its factorization.

90099 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 729, while the sum is 27.

The square root of 90099 is about 300.1649546499. The cubic root of 90099 is about 44.8304732617.

It can be divided in two parts, 900 and 99, that added together give a palindrome (999).

The spelling of 90099 in words is "ninety thousand, ninety-nine".