105645820801 has 2 divisors, whose sum is σ = 105645820802. Its totient is φ = 105645820800.

The previous prime is 105645820789. The next prime is 105645820849. The reversal of 105645820801 is 108028546501.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 75404610801 + 30241210000 = 274599^2 + 173900^2 .

It is an emirp because it is prime and its reverse (108028546501) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 105645820801 - 2¹⁵ = 105645788033 is a prime.

It is a super-2 number, since 2×105645820801² (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105645827801) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52822910400 + 52822910401.

It is an arithmetic number, because the mean of its divisors is an integer number (52822910401).

Almost surely, 2^105645820801 is an apocalyptic number.

It is an amenable number.

105645820801 is a deficient number, since it is larger than the sum of its proper divisors (1).

105645820801 is an equidigital number, since it uses as much as digits as its factorization.

105645820801 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 76800, while the sum is 40.

The spelling of 105645820801 in words is "one hundred five billion, six hundred forty-five million, eight hundred twenty thousand, eight hundred one".