105042514440 has 64 divisors (see below), whose sum is σ = 318376316160. Its totient is φ = 27722557440.

The previous prime is 105042514397. The next prime is 105042514453. The reversal of 105042514440 is 44415240501.

It is a super-2 number, since 2×105042514440² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 105042514398 and 105042514407.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4500496 + ... + 4523775.

It is an arithmetic number, because the mean of its divisors is an integer number (4974629940).

Almost surely, 2^105042514440 is an apocalyptic number.

105042514440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105042514440 is an abundant number, since it is smaller than the sum of its proper divisors (213333801720).

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

105042514440 is a wasteful number, since it uses less digits than its factorization.

105042514440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9024382 (or 9024378 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 30.

Adding to 105042514440 its reverse (44415240501), we get a palindrome (149457754941).

The spelling of 105042514440 in words is "one hundred five billion, forty-two million, five hundred fourteen thousand, four hundred forty".