105411061350 has 216 divisors, whose sum is σ = 335661440400. Its totient is φ = 23639091840.

The previous prime is 105411061337. The next prime is 105411061391. The reversal of 105411061350 is 53160114501.

105411061350 is a `hidden beast` number, since 1 + 0 + 5 + 41 + 1 + 0 + 613 + 5 + 0 = 666.

It is a super-2 number, since 2×105411061350² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 107 ways as a sum of consecutive naturals, for example, 1123551 + ... + 1213749.

It is an arithmetic number, because the mean of its divisors is an integer number (1553988150).

Almost surely, 2^105411061350 is an apocalyptic number.

105411061350 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 105411061350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167830720200).

105411061350 is an abundant number, since it is smaller than the sum of its proper divisors (230250379050).

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

105411061350 is a wasteful number, since it uses less digits than its factorization.

105411061350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90284 (or 90269 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

Adding to 105411061350 its reverse (53160114501), we get a palindrome (158571175851).

The spelling of 105411061350 in words is "one hundred five billion, four hundred eleven million, sixty-one thousand, three hundred fifty".