105001056010144 has 24 divisors (see below), whose sum is σ = 236252376023328. Its totient is φ = 45000452575680.

The previous prime is 105001056010139. The next prime is 105001056010187. The reversal of 105001056010144 is 441010650100501.

It is a super-2 number, since 2×105001056010144² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 234377356942 + ... + 234377357389.

It is an arithmetic number, because the mean of its divisors is an integer number (9843849000972).

Almost surely, 2^{105001056010144} is an apocalyptic number.

105001056010144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

105001056010144 is an abundant number, since it is smaller than the sum of its proper divisors (131251320013184).

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

105001056010144 is an equidigital number, since it uses as much as digits as its factorization.

105001056010144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 468754714348 (or 468754714340 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 28.

The spelling of 105001056010144 in words is "one hundred five trillion, one billion, fifty-six million, ten thousand, one hundred forty-four".