105054040011 has 8 divisors (see below), whose sum is σ = 146162142720. Its totient is φ = 66990981992.

The previous prime is 105054039977. The next prime is 105054040033. The reversal of 105054040011 is 110040450501.

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 105054040011 - 2⁶ = 105054039947 is a prime.

It is a super-2 number, since 2×105054040011² (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 105054040011.

It is not an unprimeable number, because it can be changed into a prime (105054040061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 761261091 + ... + 761261228.

It is an arithmetic number, because the mean of its divisors is an integer number (18270267840).

Almost surely, 2^105054040011 is an apocalyptic number.

105054040011 is a deficient number, since it is larger than the sum of its proper divisors (41108102709).

105054040011 is a wasteful number, since it uses less digits than its factorization.

105054040011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1522522345.

The product of its (nonzero) digits is 400, while the sum is 21.

Adding to 105054040011 its reverse (110040450501), we get a palindrome (215094490512).

The spelling of 105054040011 in words is "one hundred five billion, fifty-four million, forty thousand, eleven".