105002873407 has 8 divisors (see below), whose sum is σ = 105969167136. Its totient is φ = 104040598272.

The previous prime is 105002873377. The next prime is 105002873447. The reversal of 105002873407 is 704378200501.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 105002873407 - 2⁷ = 105002873279 is a prime.

It is a super-2 number, since 2×105002873407² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105002873447) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 952138 + ... + 1056679.

It is an arithmetic number, because the mean of its divisors is an integer number (13246145892).

Almost surely, 2^105002873407 is an apocalyptic number.

105002873407 is a deficient number, since it is larger than the sum of its proper divisors (966293729).

105002873407 is a wasteful number, since it uses less digits than its factorization.

105002873407 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2009297.

The product of its (nonzero) digits is 47040, while the sum is 37.

The spelling of 105002873407 in words is "one hundred five billion, two million, eight hundred seventy-three thousand, four hundred seven".