105013144240 has 120 divisors (see below), whose sum is σ = 260053824240. Its totient is φ = 39420006912.

The previous prime is 105013144193. The next prime is 105013144283. The reversal of 105013144240 is 42441310501.

It is a super-2 number, since 2×105013144240² (a number of 23 digits) contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 2219551 + ... + 2266369.

It is an arithmetic number, because the mean of its divisors is an integer number (2167115202).

Almost surely, 2^105013144240 is an apocalyptic number.

105013144240 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 105013144240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130026912120).

105013144240 is an abundant number, since it is smaller than the sum of its proper divisors (155040680000).

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

105013144240 is a wasteful number, since it uses less digits than its factorization.

105013144240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46931 (or 46902 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

Adding to 105013144240 its reverse (42441310501), we get a palindrome (147454454741).

The spelling of 105013144240 in words is "one hundred five billion, thirteen million, one hundred forty-four thousand, two hundred forty".