105828256964 has 12 divisors (see below), whose sum is σ = 185202530604. Its totient is φ = 52913248224.

The previous prime is 105828256951. The next prime is 105828256981. The reversal of 105828256964 is 469652828501.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 48734977600 + 57093279364 = 220760^2 + 238942^2 .

It is a super-2 number, since 2×105828256964² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 103202 + ... + 471494.

It is an arithmetic number, because the mean of its divisors is an integer number (15433544217).

Almost surely, 2^105828256964 is an apocalyptic number.

It is an amenable number.

105828256964 is a deficient number, since it is larger than the sum of its proper divisors (79374273640).

105828256964 is a wasteful number, since it uses less digits than its factorization.

105828256964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 440134 (or 440132 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 56.

The spelling of 105828256964 in words is "one hundred five billion, eight hundred twenty-eight million, two hundred fifty-six thousand, nine hundred sixty-four".