10261205056105 has 8 divisors (see below), whose sum is σ = 12313463532552. Its totient is φ = 8208952401408.

The previous prime is 10261205056093. The next prime is 10261205056117. The reversal of 10261205056105 is 50165050216201.

It is an interprime number because it is at equal distance from previous prime (10261205056093) and next prime (10261205056117).

It can be written as a sum of positive squares in 4 ways, for example, as 27431309376 + 10233773746729 = 165624^2 + 3199027^2 .

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 10261205056105 - 2¹³ = 10261205047913 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5135947 + ... + 6848383.

It is an arithmetic number, because the mean of its divisors is an integer number (1539182941569).

Almost surely, 2^{10261205056105} is an apocalyptic number.

It is an amenable number.

10261205056105 is a deficient number, since it is larger than the sum of its proper divisors (2052258476447).

10261205056105 is a wasteful number, since it uses less digits than its factorization.

10261205056105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2910875.

The product of its (nonzero) digits is 18000, while the sum is 34.

The spelling of 10261205056105 in words is "ten trillion, two hundred sixty-one billion, two hundred five million, fifty-six thousand, one hundred five".