105445526009 has 8 divisors (see below), whose sum is σ = 110161597320. Its totient is φ = 100801456000.

The previous prime is 105445525987. The next prime is 105445526077. The reversal of 105445526009 is 900625544501.

It can be written as a sum of positive squares in 4 ways, for example, as 18352662784 + 87092863225 = 135472^2 + 295115^2 .

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 105445526009 - 2⁸ = 105445525753 is a prime.

It is a super-2 number, since 2×105445526009² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105445526509) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17997332 + ... + 18003189.

It is an arithmetic number, because the mean of its divisors is an integer number (13770199665).

Almost surely, 2^105445526009 is an apocalyptic number.

It is an amenable number.

105445526009 is a deficient number, since it is larger than the sum of its proper divisors (4716071311).

105445526009 is a wasteful number, since it uses less digits than its factorization.

105445526009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36000651.

The product of its (nonzero) digits is 216000, while the sum is 41.

The spelling of 105445526009 in words is "one hundred five billion, four hundred forty-five million, five hundred twenty-six thousand, nine".