105249673801 has 2 divisors, whose sum is σ = 105249673802. Its totient is φ = 105249673800.

The previous prime is 105249673759. The next prime is 105249673847. The reversal of 105249673801 is 108376942501.

It is an a-pointer prime, because the next prime (105249673847) can be obtained adding 105249673801 to its sum of digits (46).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 86759113401 + 18490560400 = 294549^2 + 135980^2 .

It is a cyclic number.

It is not a de Polignac number, because 105249673801 - 2¹⁹ = 105249149513 is a prime.

It is a super-2 number, since 2×105249673801² (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105249676801) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52624836900 + 52624836901.

It is an arithmetic number, because the mean of its divisors is an integer number (52624836901).

It is a 1-persistent number, because it is pandigital, but 2⋅105249673801 = 210499347602 is not.

Almost surely, 2^105249673801 is an apocalyptic number.

It is an amenable number.

105249673801 is a deficient number, since it is larger than the sum of its proper divisors (1).

105249673801 is an equidigital number, since it uses as much as digits as its factorization.

105249673801 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 362880, while the sum is 46.

The spelling of 105249673801 in words is "one hundred five billion, two hundred forty-nine million, six hundred seventy-three thousand, eight hundred one".