105515441300 has 18 divisors (see below), whose sum is σ = 228968507838. Its totient is φ = 42206176480.

The previous prime is 105515441287. The next prime is 105515441333. The reversal of 105515441300 is 3144515501.

It can be written as a sum of positive squares in 3 ways, for example, as 24716241796 + 80799199504 = 157214^2 + 284252^2 .

It is a super-2 number, since 2×105515441300² (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 (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 527577107 + ... + 527577306.

Almost surely, 2^105515441300 is an apocalyptic number.

105515441300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105515441300 is an abundant number, since it is smaller than the sum of its proper divisors (123453066538).

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

105515441300 is a wasteful number, since it uses less digits than its factorization.

105515441300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1055154427 (or 1055154420 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 29.

Adding to 105515441300 its reverse (3144515501), we get a palindrome (108659956801).

The spelling of 105515441300 in words is "one hundred five billion, five hundred fifteen million, four hundred forty-one thousand, three hundred".