105001056010112 has 64 divisors (see below), whose sum is σ = 209503157529600. Its totient is φ = 52419890079744.

The previous prime is 105001056010049. The next prime is 105001056010129. The reversal of 105001056010112 is 211010650100501.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×105001056010112² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 766513658 + ... + 766650630.

It is an arithmetic number, because the mean of its divisors is an integer number (3273486836400).

Almost surely, 2^{105001056010112} is an apocalyptic number.

It is an amenable number.

105001056010112 is a deficient number, since it is larger than the sum of its proper divisors (104502101519488).

105001056010112 is an equidigital number, since it uses as much as digits as its factorization.

105001056010112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146143 (or 146131 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 23.

The spelling of 105001056010112 in words is "one hundred five trillion, one billion, fifty-six million, ten thousand, one hundred twelve".