103585691766342 has 48 divisors (see below), whose sum is σ = 219499798095792. Its totient is φ = 32583989698560.

The previous prime is 103585691766331. The next prime is 103585691766367. The reversal of 103585691766342 is 243667196585301.

It is a happy number.

It is a super-3 number, since 3×103585691766342³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a hoax number, since the sum of its digits (66) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 92485159 + ... + 93598482.

It is an arithmetic number, because the mean of its divisors is an integer number (4572912460329).

It is a 1-persistent number, because it is pandigital, but 2⋅103585691766342 = 207171383532684 is not.

Almost surely, 2^{103585691766342} is an apocalyptic number.

103585691766342 is an abundant number, since it is smaller than the sum of its proper divisors (115914106329450).

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

103585691766342 is a wasteful number, since it uses less digits than its factorization.

103585691766342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186083941 (or 186083922 counting only the distinct ones).

The product of its (nonzero) digits is 195955200, while the sum is 66.

The spelling of 103585691766342 in words is "one hundred three trillion, five hundred eighty-five billion, six hundred ninety-one million, seven hundred sixty-six thousand, three hundred forty-two".