105044141340 has 144 divisors (see below), whose sum is σ = 332643257856. Its totient is φ = 26781321600.

The previous prime is 105044141299. The next prime is 105044141351. The reversal of 105044141340 is 43141440501.

105044141340 is a `hidden beast` number, since 10 + 504 + 4 + 14 + 134 + 0 = 666.

It is a super-2 number, since 2×105044141340² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11550195 + ... + 11559285.

It is an arithmetic number, because the mean of its divisors is an integer number (2310022624).

Almost surely, 2^105044141340 is an apocalyptic number.

105044141340 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 105044141340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166321628928).

105044141340 is an abundant number, since it is smaller than the sum of its proper divisors (227599116516).

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

105044141340 is a wasteful number, since it uses less digits than its factorization.

105044141340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11920 (or 11915 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 105044141340 its reverse (43141440501), we get a palindrome (148185581841).

The spelling of 105044141340 in words is "one hundred five billion, forty-four million, one hundred forty-one thousand, three hundred forty".