10006907142323 has 8 divisors (see below), whose sum is σ = 12316193406048. Its totient is φ = 7917552903744.

The previous prime is 10006907142317. The next prime is 10006907142329. The reversal of 10006907142323 is 32324170960001.

It is an interprime number because it is at equal distance from previous prime (10006907142317) and next prime (10006907142329).

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 10006907142323 - 2²⁰ = 10006906093747 is a prime.

It is a super-3 number, since 3×10006907142323³ (a number of 40 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (10006907142329) 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, 54983006186 + ... + 54983006367.

It is an arithmetic number, because the mean of its divisors is an integer number (1539524175756).

Almost surely, 2^{10006907142323} is an apocalyptic number.

10006907142323 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

10006907142323 is a deficient number, since it is larger than the sum of its proper divisors (2309286263725).

10006907142323 is a wasteful number, since it uses less digits than its factorization.

10006907142323 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109966012573.

The product of its (nonzero) digits is 54432, while the sum is 38.

The spelling of 10006907142323 in words is "ten trillion, six billion, nine hundred seven million, one hundred forty-two thousand, three hundred twenty-three".