105511303013440 has 28 divisors (see below), whose sum is σ = 251248790301516. Its totient is φ = 42204521205248.

The previous prime is 105511303013423. The next prime is 105511303013447. The reversal of 105511303013440 is 44310303115501.

It can be written as a sum of positive squares in 2 ways, for example, as 74419883876416 + 31091419137024 = 8626696^2 + 5575968^2 .

It is a super-2 number, since 2×105511303013440² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105511303013447) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 164861410639 + ... + 164861411278.

It is an arithmetic number, because the mean of its divisors is an integer number (8973171082197).

Almost surely, 2^{105511303013440} is an apocalyptic number.

105511303013440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105511303013440 is an abundant number, since it is smaller than the sum of its proper divisors (145737487288076).

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

105511303013440 is an equidigital number, since it uses as much as digits as its factorization.

105511303013440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 329722821934 (or 329722821924 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 31.

Adding to 105511303013440 its reverse (44310303115501), we get a palindrome (149821606128941).

The spelling of 105511303013440 in words is "one hundred five trillion, five hundred eleven billion, three hundred three million, thirteen thousand, four hundred forty".