105415140144 has 40 divisors (see below), whose sum is σ = 273209527360. Its totient is φ = 35023917888.

The previous prime is 105415140133. The next prime is 105415140151. The reversal of 105415140144 is 441041514501.

It is a super-2 number, since 2×105415140144² (a number of 23 digits) contains 22 as substring.

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 7 ways as a sum of consecutive naturals, for example, 3562054 + ... + 3591525.

It is an arithmetic number, because the mean of its divisors is an integer number (6830238184).

Almost surely, 2^105415140144 is an apocalyptic number.

It is an amenable number.

105415140144 is an abundant number, since it is smaller than the sum of its proper divisors (167794387216).

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

105415140144 is a wasteful number, since it uses less digits than its factorization.

105415140144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7153897 (or 7153891 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 30.

Adding to 105415140144 its reverse (441041514501), we get a palindrome (546456654645).

The spelling of 105415140144 in words is "one hundred five billion, four hundred fifteen million, one hundred forty thousand, one hundred forty-four".