105001060605001 has 8 divisors (see below), whose sum is σ = 115833652149600. Its totient is φ = 94382975823840.

The previous prime is 105001060604989. The next prime is 105001060605017. The reversal of 105001060605001 is 100506060100501.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 105001060605001 - 2¹⁹ = 105001060080713 is a prime.

It is a super-2 number, since 2×105001060605001² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105001060605061) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 53626689831 + ... + 53626691788.

It is an arithmetic number, because the mean of its divisors is an integer number (14479206518700).

Almost surely, 2^{105001060605001} is an apocalyptic number.

105001060605001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

105001060605001 is a deficient number, since it is larger than the sum of its proper divisors (10832591544599).

105001060605001 is a wasteful number, since it uses less digits than its factorization.

105001060605001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107253381719.

The product of its (nonzero) digits is 900, while the sum is 25.

The spelling of 105001060605001 in words is "one hundred five trillion, one billion, sixty million, six hundred five thousand, one".