105858252289 has 8 divisors (see below), whose sum is σ = 112274232840. Its totient is φ = 99463274496.

The previous prime is 105858252287. The next prime is 105858252293. The reversal of 105858252289 is 982252858501.

It can be written as a sum of positive squares in 4 ways, for example, as 44940608064 + 60917644225 = 211992^2 + 246815^2 .

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 105858252289 - 2¹ = 105858252287 is a prime.

It is a super-2 number, since 2×105858252289² (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 (105858252287) 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, 5240304 + ... + 5260465.

It is an arithmetic number, because the mean of its divisors is an integer number (14034279105).

Almost surely, 2^105858252289 is an apocalyptic number.

It is an amenable number.

105858252289 is a deficient number, since it is larger than the sum of its proper divisors (6415980551).

105858252289 is a wasteful number, since it uses less digits than its factorization.

105858252289 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10501379.

The product of its (nonzero) digits is 4608000, while the sum is 55.

The spelling of 105858252289 in words is "one hundred five billion, eight hundred fifty-eight million, two hundred fifty-two thousand, two hundred eighty-nine".