90200045 has 16 divisors (see below), whose sum is σ = 123424560. Its totient is φ = 62690304.

The previous prime is 90200017. The next prime is 90200053. The reversal of 90200045 is 54000209.

It can be written as a sum of positive squares in 8 ways, for example, as 64009 + 90136036 = 253^2 + 9494^2 .

It is a cyclic number.

It is not a de Polignac number, because 90200045 - 2¹⁴ = 90183661 is a prime.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39710 + ... + 41919.

It is an arithmetic number, because the mean of its divisors is an integer number (7714035).

Almost surely, 2^90200045 is an apocalyptic number.

It is an amenable number.

90200045 is a deficient number, since it is larger than the sum of its proper divisors (33224515).

90200045 is a wasteful number, since it uses less digits than its factorization.

90200045 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81664.

The product of its (nonzero) digits is 360, while the sum is 20.

The square root of 90200045 is about 9497.3704255441. The cubic root of 90200045 is about 448.4722595523.

The spelling of 90200045 in words is "ninety million, two hundred thousand, forty-five".