10056005561105 has 8 divisors (see below), whose sum is σ = 13791093340992. Its totient is φ = 6895546670448.

The previous prime is 10056005561089. The next prime is 10056005561123. The reversal of 10056005561105 is 50116550065001.

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 10056005561105 - 2⁴ = 10056005561089 is a prime.

It is a super-2 number, since 2×10056005561105² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35), and also a Moran number because the ratio is a prime number: 287314444603 = 10056005561105 / (1 + 0 + 0 + 5 + 6 + 0 + 0 + 5 + 5 + 6 + 1 + 1 + 0 + 5).

It is a Duffinian number.

It is an unprimeable number.

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, 143657222267 + ... + 143657222336.

It is an arithmetic number, because the mean of its divisors is an integer number (1723886667624).

Almost surely, 2^{10056005561105} is an apocalyptic number.

It is an amenable number.

10056005561105 is a deficient number, since it is larger than the sum of its proper divisors (3735087779887).

10056005561105 is an equidigital number, since it uses as much as digits as its factorization.

10056005561105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287314444615.

The product of its (nonzero) digits is 22500, while the sum is 35.

The spelling of 10056005561105 in words is "ten trillion, fifty-six billion, five million, five hundred sixty-one thousand, one hundred five".