105056010005511 has 8 divisors (see below), whose sum is σ = 140074806745984. Its totient is φ = 70037276634360.

The previous prime is 105056010005503. The next prime is 105056010005561. The reversal of 105056010005511 is 115500010650501.

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

It is not a de Polignac number, because 105056010005511 - 2³ = 105056010005503 is a prime.

It is a super-2 number, since 2×105056010005511² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105056010005561) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11828785 + ... + 18709146.

It is an arithmetic number, because the mean of its divisors is an integer number (17509350843248).

Almost surely, 2^{105056010005511} is an apocalyptic number.

105056010005511 is a deficient number, since it is larger than the sum of its proper divisors (35018796740473).

105056010005511 is a wasteful number, since it uses less digits than its factorization.

105056010005511 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31684661.

The product of its (nonzero) digits is 3750, while the sum is 30.

The spelling of 105056010005511 in words is "one hundred five trillion, fifty-six billion, ten million, five thousand, five hundred eleven".