105366818101 has 4 divisors (see below), whose sum is σ = 105376445452. Its totient is φ = 105357190752.

The previous prime is 105366818087. The next prime is 105366818131. The reversal of 105366818101 is 101818663501.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 101818663501 = 50053 ⋅2034217.

It can be written as a sum of positive squares in 2 ways, for example, as 63138623076 + 42228195025 = 251274^2 + 205495^2 .

It is a cyclic number.

It is not a de Polignac number, because 105366818101 - 2¹⁷ = 105366687029 is a prime.

It is a super-2 number, since 2×105366818101² (a number of 23 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 (105366818131) 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, 4797240 + ... + 4819153.

It is an arithmetic number, because the mean of its divisors is an integer number (26344111363).

Almost surely, 2^105366818101 is an apocalyptic number.

It is an amenable number.

105366818101 is a deficient number, since it is larger than the sum of its proper divisors (9627351).

105366818101 is an equidigital number, since it uses as much as digits as its factorization.

105366818101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9627350.

The product of its (nonzero) digits is 34560, while the sum is 40.

The spelling of 105366818101 in words is "one hundred five billion, three hundred sixty-six million, eight hundred eighteen thousand, one hundred one".