105100555100101 has 8 divisors (see below), whose sum is σ = 116106482044800. Its totient is φ = 94336516659840.

The previous prime is 105100555100063. The next prime is 105100555100143. The reversal of 105100555100101 is 101001555001501.

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

It is a cyclic number.

It is not a de Polignac number, because 105100555100101 - 2¹¹ = 105100555098053 is a prime.

It is a super-2 number, since 2×105100555100101² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105100555100161) 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, 60472125196 + ... + 60472126933.

It is an arithmetic number, because the mean of its divisors is an integer number (14513310255600).

Almost surely, 2^{105100555100101} is an apocalyptic number.

105100555100101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

105100555100101 is a deficient number, since it is larger than the sum of its proper divisors (11005926944699).

105100555100101 is a wasteful number, since it uses less digits than its factorization.

105100555100101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120944252219.

The product of its (nonzero) digits is 625, while the sum is 25.

The spelling of 105100555100101 in words is "one hundred five trillion, one hundred billion, five hundred fifty-five million, one hundred thousand, one hundred one".