10106673707341 has 8 divisors (see below), whose sum is σ = 10111033663640. Its totient is φ = 10102314074688.

The previous prime is 10106673707297. The next prime is 10106673707357. The reversal of 10106673707341 is 14370737660101.

It can be written as a sum of positive squares in 4 ways, for example, as 1937246422500 + 8169427284841 = 1391850^2 + 2858221^2 .

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 10106673707341 - 2²³ = 10106665318733 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10106673707291 and 10106673707300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10106673707381) 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, 78581395 + ... + 78709903.

It is an arithmetic number, because the mean of its divisors is an integer number (1263879207955).

Almost surely, 2^{10106673707341} is an apocalyptic number.

It is an amenable number.

10106673707341 is a deficient number, since it is larger than the sum of its proper divisors (4359956299).

10106673707341 is a wasteful number, since it uses less digits than its factorization.

10106673707341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161823.

The product of its (nonzero) digits is 444528, while the sum is 46.

The spelling of 10106673707341 in words is "ten trillion, one hundred six billion, six hundred seventy-three million, seven hundred seven thousand, three hundred forty-one".