105006420003209 has 8 divisors (see below), whose sum is σ = 106454216168832. Its totient is φ = 103558876596000.

The previous prime is 105006420003193. The next prime is 105006420003227. The reversal of 105006420003209 is 902300024600501.

It is a happy number.

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 105006420003209 - 2⁴ = 105006420003193 is a prime.

It is a super-2 number, since 2×105006420003209² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105006420003409) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 62352917 + ... + 64014834.

It is an arithmetic number, because the mean of its divisors is an integer number (13306777021104).

Almost surely, 2^{105006420003209} is an apocalyptic number.

It is an amenable number.

105006420003209 is a deficient number, since it is larger than the sum of its proper divisors (1447796165623).

105006420003209 is a wasteful number, since it uses less digits than its factorization.

105006420003209 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126379207.

The product of its (nonzero) digits is 12960, while the sum is 32.

The spelling of 105006420003209 in words is "one hundred five trillion, six billion, four hundred twenty million, three thousand, two hundred nine".