106000050564 has 72 divisors (see below), whose sum is σ = 283750477920. Its totient is φ = 33249706752.

The previous prime is 106000050463. The next prime is 106000050571. The reversal of 106000050564 is 465050000601.

It is a happy number.

106000050564 is a `hidden beast` number, since 1 + 0 + 600 + 0 + 0 + 5 + 0 + 56 + 4 = 666.

It is a super-2 number, since 2×106000050564² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6270067 + ... + 6286949.

It is an arithmetic number, because the mean of its divisors is an integer number (3940978860).

Almost surely, 2^106000050564 is an apocalyptic number.

It is an amenable number.

106000050564 is an abundant number, since it is smaller than the sum of its proper divisors (177750427356).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

106000050564 is a wasteful number, since it uses less digits than its factorization.

106000050564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27169 (or 27164 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The spelling of 106000050564 in words is "one hundred six billion, fifty thousand, five hundred sixty-four".