100805393 has 16 divisors (see below), whose sum is σ = 121000320. Its totient is φ = 82964736.

The previous prime is 100805381. The next prime is 100805399. The reversal of 100805393 is 393508001.

It is a cyclic number.

It is not a de Polignac number, because 100805393 - 2⁴ = 100805377 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100805399) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7805 + ... + 16202.

It is an arithmetic number, because the mean of its divisors is an integer number (7562520).

Almost surely, 2^100805393 is an apocalyptic number.

100805393 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

100805393 is a deficient number, since it is larger than the sum of its proper divisors (20194927).

100805393 is a wasteful number, since it uses less digits than its factorization.

100805393 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24056.

The product of its (nonzero) digits is 3240, while the sum is 29.

The square root of 100805393 is about 10040.1888926454. The cubic root of 100805393 is about 465.4016539647.

The spelling of 100805393 in words is "one hundred million, eight hundred five thousand, three hundred ninety-three".