104145993 has 40 divisors (see below), whose sum is σ = 180024768. Its totient is φ = 58768416.

The previous prime is 104145991. The next prime is 104146037. The reversal of 104145993 is 399541401.

It is a happy number.

It is not a de Polignac number, because 104145993 - 2¹ = 104145991 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (104145991) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 45955 + ... + 48167.

Almost surely, 2^104145993 is an apocalyptic number.

It is an amenable number.

104145993 is a deficient number, since it is larger than the sum of its proper divisors (75878775).

104145993 is an equidigital number, since it uses as much as digits as its factorization.

104145993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2315 (or 2306 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 104145993 is about 10205.1944126508. The cubic root of 104145993 is about 470.4868849167.

The spelling of 104145993 in words is "one hundred four million, one hundred forty-five thousand, nine hundred ninety-three".