105100606011001 has 4 divisors (see below), whose sum is σ = 105628749760000. Its totient is φ = 104572462262004.

The previous prime is 105100606010987. The next prime is 105100606011061. The reversal of 105100606011001 is 100110606001501.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 105100606011001 - 2⁹ = 105100606010489 is a prime.

It is a super-2 number, since 2×105100606011001² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105100606011061) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 264071874201 + ... + 264071874598.

It is an arithmetic number, because the mean of its divisors is an integer number (26407187440000).

Almost surely, 2^{105100606011001} is an apocalyptic number.

It is an amenable number.

105100606011001 is a deficient number, since it is larger than the sum of its proper divisors (528143748999).

105100606011001 is an equidigital number, since it uses as much as digits as its factorization.

105100606011001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 528143748998.

The product of its (nonzero) digits is 180, while the sum is 22.

The spelling of 105100606011001 in words is "one hundred five trillion, one hundred billion, six hundred six million, eleven thousand, one".