105311530240 has 72 divisors (see below), whose sum is σ = 288290338560. Its totient is φ = 36106807296.

The previous prime is 105311530231. The next prime is 105311530253. The reversal of 105311530240 is 42035113501.

It is a happy number.

It is a super-2 number, since 2×105311530240² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 5867800 + ... + 5885719.

It is an arithmetic number, because the mean of its divisors is an integer number (4004032480).

Almost surely, 2^105311530240 is an apocalyptic number.

105311530240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105311530240 is an abundant number, since it is smaller than the sum of its proper divisors (182978808320).

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

105311530240 is an equidigital number, since it uses as much as digits as its factorization.

105311530240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11753547 (or 11753533 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 25.

Adding to 105311530240 its reverse (42035113501), we get a palindrome (147346643741).

The spelling of 105311530240 in words is "one hundred five billion, three hundred eleven million, five hundred thirty thousand, two hundred forty".