103686343686301 has 8 divisors (see below), whose sum is σ = 106217474872824. Its totient is φ = 101155317070080.

The previous prime is 103686343686283. The next prime is 103686343686349.

It is a happy number.

103686343686301 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 4092929563801 + 99593414122500 = 2023099^2 + 9979650^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-103686343686301 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103686343696301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24133416 + ... + 28103281.

It is an arithmetic number, because the mean of its divisors is an integer number (13277184359103).

Almost surely, 2^{103686343686301} is an apocalyptic number.

It is an amenable number.

103686343686301 is a deficient number, since it is larger than the sum of its proper divisors (2531131186523).

103686343686301 is an equidigital number, since it uses as much as digits as its factorization.

103686343686301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52285151.

The product of its (nonzero) digits is 26873856, while the sum is 58.

The spelling of 103686343686301 in words is "one hundred three trillion, six hundred eighty-six billion, three hundred forty-three million, six hundred eighty-six thousand, three hundred one".