10006307101439 has 32 divisors (see below), whose sum is σ = 11652419877120. Its totient is φ = 8497137600000.

The previous prime is 10006307101433. The next prime is 10006307101463. The reversal of 10006307101439 is 93410170360001.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 10006307101439 - 2⁴ = 10006307101423 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10006307101399 and 10006307101408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10006307101433) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4103804 + ... + 6070734.

It is an arithmetic number, because the mean of its divisors is an integer number (364138121160).

Almost surely, 2^{10006307101439} is an apocalyptic number.

10006307101439 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

10006307101439 is a deficient number, since it is larger than the sum of its proper divisors (1646112775681).

10006307101439 is a wasteful number, since it uses less digits than its factorization.

10006307101439 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1967303.

The product of its (nonzero) digits is 13608, while the sum is 35.

The spelling of 10006307101439 in words is "ten trillion, six billion, three hundred seven million, one hundred one thousand, four hundred thirty-nine".