105055057011 has 32 divisors (see below), whose sum is σ = 144425825280. Its totient is φ = 67893306624.

The previous prime is 105055057007. The next prime is 105055057043. The reversal of 105055057011 is 110750550501.

It is not a de Polignac number, because 105055057011 - 2² = 105055057007 is a prime.

It is a super-2 number, since 2×105055057011² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105055057011.

It is not an unprimeable number, because it can be changed into a prime (105055057001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37965750 + ... + 37968516.

It is an arithmetic number, because the mean of its divisors is an integer number (4513307040).

Almost surely, 2^105055057011 is an apocalyptic number.

105055057011 is a deficient number, since it is larger than the sum of its proper divisors (39370768269).

105055057011 is a wasteful number, since it uses less digits than its factorization.

105055057011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5595.

The product of its (nonzero) digits is 4375, while the sum is 30.

The spelling of 105055057011 in words is "one hundred five billion, fifty-five million, fifty-seven thousand, eleven".