105411000000 has 392 divisors, whose sum is σ = 357540110928. Its totient is φ = 27392000000.

The previous prime is 105410999983. The next prime is 105411000089. The reversal of 105411000000 is 114501.

It is a happy number.

It is a super-2 number, since 2×105411000000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a self number, because there is not a number n which added to its sum of digits gives 105411000000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 122999572 + ... + 123000428.

Almost surely, 2^105411000000 is an apocalyptic number.

105411000000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105411000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178770055464).

105411000000 is an abundant number, since it is smaller than the sum of its proper divisors (252129110928).

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

105411000000 is an frugal number, since it uses more digits than its factorization.

105411000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 943 (or 908 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 12.

Adding to 105411000000 its reverse (114501), we get a palindrome (105411114501).

The spelling of 105411000000 in words is "one hundred five billion, four hundred eleven million", and thus it is an aban number.