105134311044 has 96 divisors (see below), whose sum is σ = 311711375360. Its totient is φ = 30018866976.

The previous prime is 105134311039. The next prime is 105134311057. The reversal of 105134311044 is 440113431501.

105134311044 is a `hidden beast` number, since 1 + 0 + 513 + 43 + 1 + 104 + 4 = 666.

It is a super-2 number, since 2×105134311044² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 105134310999 and 105134311017.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1140279 + ... + 1229025.

Almost surely, 2^105134311044 is an apocalyptic number.

105134311044 is a gapful number since it is divisible by the number (14) 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 105134311044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155855687680).

105134311044 is an abundant number, since it is smaller than the sum of its proper divisors (206577064316).

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

105134311044 is a wasteful number, since it uses less digits than its factorization.

105134311044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90334 (or 90326 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 105134311044 its reverse (440113431501), we get a palindrome (545247742545).

The spelling of 105134311044 in words is "one hundred five billion, one hundred thirty-four million, three hundred eleven thousand, forty-four".