90830005305 has 64 divisors (see below), whose sum is σ = 167853047040. Its totient is φ = 41563431936.

The previous prime is 90830005291. The next prime is 90830005339. The reversal of 90830005305 is 50350003809.

It is not a de Polignac number, because 90830005305 - 2²⁴ = 90813228089 is a prime.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 34914 + ... + 427643.

It is an arithmetic number, because the mean of its divisors is an integer number (2622703860).

Almost surely, 2^90830005305 is an apocalyptic number.

90830005305 is a gapful number since it is divisible by the number (95) formed by its first and last digit.

It is an amenable number.

90830005305 is a deficient number, since it is larger than the sum of its proper divisors (77023041735).

90830005305 is a wasteful number, since it uses less digits than its factorization.

90830005305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 462650.

The product of its (nonzero) digits is 16200, while the sum is 33.

The spelling of 90830005305 in words is "ninety billion, eight hundred thirty million, five thousand, three hundred five".