90099945 has 80 divisors (see below), whose sum is σ = 176650320. Its totient is φ = 43670016.

The previous prime is 90099943. The next prime is 90099953. The reversal of 90099945 is 54999009.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 6487209 + 83612736 = 2547^2 + 9144^2 .

It is not a de Polignac number, because 90099945 - 2¹ = 90099943 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 90099945.

It is not an unprimeable number, because it can be changed into a prime (90099941) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 573807 + ... + 573963.

It is an arithmetic number, because the mean of its divisors is an integer number (2208129).

Almost surely, 2^90099945 is an apocalyptic number.

It is an amenable number.

90099945 is a deficient number, since it is larger than the sum of its proper divisors (86550375).

90099945 is a wasteful number, since it uses less digits than its factorization.

90099945 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 131220, while the sum is 45.

The square root of 90099945 is about 9492.0990829215. The cubic root of 90099945 is about 448.3062999536.

The spelling of 90099945 in words is "ninety million, ninety-nine thousand, nine hundred forty-five".