105211741088 has 24 divisors (see below), whose sum is σ = 214278224580. Its totient is φ = 50791874560.

The previous prime is 105211741087. The next prime is 105211741147. The reversal of 105211741088 is 880147112501.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 98126815504 + 7084925584 = 313252^2 + 84172^2 .

It is a super-2 number, since 2×105211741088² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105211741087) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 56686433 + ... + 56688288.

Almost surely, 2^105211741088 is an apocalyptic number.

It is an amenable number.

105211741088 is an abundant number, since it is smaller than the sum of its proper divisors (109066483492).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

105211741088 is a wasteful number, since it uses less digits than its factorization.

105211741088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113374760 (or 113374752 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 38.

Adding to 105211741088 its reverse (880147112501), we get a palindrome (985358853589).

The spelling of 105211741088 in words is "one hundred five billion, two hundred eleven million, seven hundred forty-one thousand, eighty-eight".