99905301 has 6 divisors (see below), whose sum is σ = 144307670. Its totient is φ = 66603528.

The previous prime is 99905263. The next prime is 99905317. The reversal of 99905301 is 10350999.

It can be written as a sum of positive squares in only one way, i.e., 74805201 + 25100100 = 8649^2 + 5010^2 .

It is not a de Polignac number, because 99905301 - 2¹⁴ = 99888917 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99905321) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5550286 + ... + 5550303.

Almost surely, 2^99905301 is an apocalyptic number.

It is an amenable number.

99905301 is a deficient number, since it is larger than the sum of its proper divisors (44402369).

99905301 is a wasteful number, since it uses less digits than its factorization.

99905301 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11100595 (or 11100592 counting only the distinct ones).

The product of its (nonzero) digits is 10935, while the sum is 36.

The square root of 99905301 is about 9995.2639284813. The cubic root of 99905301 is about 464.0123191463.

The spelling of 99905301 in words is "ninety-nine million, nine hundred five thousand, three hundred one".