105182225564 has 48 divisors (see below), whose sum is σ = 198763813248. Its totient is φ = 48414647808.

The previous prime is 105182225513. The next prime is 105182225569. The reversal of 105182225564 is 465522281501.

105182225564 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×105182225564² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105182225569) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38011709 + ... + 38014475.

It is an arithmetic number, because the mean of its divisors is an integer number (4140912776).

Almost surely, 2^105182225564 is an apocalyptic number.

It is an amenable number.

105182225564 is a deficient number, since it is larger than the sum of its proper divisors (93581587684).

105182225564 is a wasteful number, since it uses less digits than its factorization.

105182225564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4494 (or 4492 counting only the distinct ones).

The product of its (nonzero) digits is 192000, while the sum is 41.

The spelling of 105182225564 in words is "one hundred five billion, one hundred eighty-two million, two hundred twenty-five thousand, five hundred sixty-four".