105524140440 has 64 divisors (see below), whose sum is σ = 319531080960. Its totient is φ = 27876778880.

The previous prime is 105524140439. The next prime is 105524140459. The reversal of 105524140440 is 44041425501.

It is a super-2 number, since 2×105524140440² (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 = 105524140398 and 105524140407.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 4096356 + ... + 4122035.

It is an arithmetic number, because the mean of its divisors is an integer number (4992673140).

Almost surely, 2^105524140440 is an apocalyptic number.

105524140440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105524140440 is an abundant number, since it is smaller than the sum of its proper divisors (214006940520).

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

105524140440 is a wasteful number, since it uses less digits than its factorization.

105524140440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8218512 (or 8218508 counting only the distinct ones).

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

Adding to 105524140440 its reverse (44041425501), we get a palindrome (149565565941).

The spelling of 105524140440 in words is "one hundred five billion, five hundred twenty-four million, one hundred forty thousand, four hundred forty".