105001060106000 has 80 divisors (see below), whose sum is σ = 260085065084208. Its totient is φ = 40976023424000.

The previous prime is 105001060105993. The next prime is 105001060106009. The reversal of 105001060106000 is 601060100501.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 29043002392336 + 75958057713664 = 5389156^2 + 8715392^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×105001060106000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (105001060106009) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 640168367 + ... + 640332366.

Almost surely, 2^{105001060106000} is an apocalyptic number.

105001060106000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105001060106000 is an abundant number, since it is smaller than the sum of its proper divisors (155084004978208).

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

105001060106000 is a wasteful number, since it uses less digits than its factorization.

105001060106000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1280500797 (or 1280500781 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 20.

The spelling of 105001060106000 in words is "one hundred five trillion, one billion, sixty million, one hundred six thousand".