10085688342 has 24 divisors (see below), whose sum is σ = 21890617320. Its totient is φ = 3356004960.

The previous prime is 10085688307. The next prime is 10085688343. The reversal of 10085688342 is 24388658001.

10085688342 is a `hidden beast` number, since 1 + 0 + 0 + 8 + 568 + 83 + 4 + 2 = 666.

It is a super-2 number, since 2×10085688342² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10085688343) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 480367 + ... + 500922.

It is an arithmetic number, because the mean of its divisors is an integer number (912109055).

Almost surely, 2^10085688342 is an apocalyptic number.

10085688342 is an abundant number, since it is smaller than the sum of its proper divisors (11804928978).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10085688342 is a wasteful number, since it uses less digits than its factorization.

10085688342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 981868 (or 981865 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 10085688342 in words is "ten billion, eighty-five million, six hundred eighty-eight thousand, three hundred forty-two".