105055150666101 has 8 divisors (see below), whose sum is σ = 140076933156960. Its totient is φ = 70035067642992.

The previous prime is 105055150666087. The next prime is 105055150666289. The reversal of 105055150666101 is 101666051550501.

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

It is not a de Polignac number, because 105055150666101 - 2⁵ = 105055150666069 is a prime.

It is a super-2 number, since 2×105055150666101² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105055150666801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 424722691 + ... + 424969968.

It is an arithmetic number, because the mean of its divisors is an integer number (17509616644620).

Almost surely, 2^{105055150666101} is an apocalyptic number.

It is an amenable number.

105055150666101 is a deficient number, since it is larger than the sum of its proper divisors (35021782490859).

105055150666101 is an equidigital number, since it uses as much as digits as its factorization.

105055150666101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 849733875.

The product of its (nonzero) digits is 135000, while the sum is 42.

The spelling of 105055150666101 in words is "one hundred five trillion, fifty-five billion, one hundred fifty million, six hundred sixty-six thousand, one hundred one".