105144522133511 has 8 divisors (see below), whose sum is σ = 120902377774464. Its totient is φ = 89570968898040.

The previous prime is 105144522133477. The next prime is 105144522133523. The reversal of 105144522133511 is 115331225441501.

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

It is not a de Polignac number, because 105144522133511 - 2²⁶ = 105144455024647 is a prime.

It is a super-2 number, since 2×105144522133511² (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 (105144522133571) 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, 46075600145 + ... + 46075602426.

It is an arithmetic number, because the mean of its divisors is an integer number (15112797221808).

Almost surely, 2^{105144522133511} is an apocalyptic number.

105144522133511 is a deficient number, since it is larger than the sum of its proper divisors (15757855640953).

105144522133511 is an equidigital number, since it uses as much as digits as its factorization.

105144522133511 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92151202741.

The product of its (nonzero) digits is 72000, while the sum is 38.

The spelling of 105144522133511 in words is "one hundred five trillion, one hundred forty-four billion, five hundred twenty-two million, one hundred thirty-three thousand, five hundred eleven".