106200246564 has 36 divisors (see below), whose sum is σ = 268582466880. Its totient is φ = 35382696240.

The previous prime is 106200246563. The next prime is 106200246599. The reversal of 106200246564 is 465642002601.

106200246564 is a `hidden beast` number, since 1 + 0 + 620 + 0 + 24 + 6 + 5 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-3 number, since 3×106200246564³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (106200246563) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 649992 + ... + 796799.

It is an arithmetic number, because the mean of its divisors is an integer number (7460624080).

Almost surely, 2^106200246564 is an apocalyptic number.

It is an amenable number.

106200246564 is an abundant number, since it is smaller than the sum of its proper divisors (162382220316).

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

106200246564 is a wasteful number, since it uses less digits than its factorization.

106200246564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1448840 (or 1448835 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 106200246564 in words is "one hundred six billion, two hundred million, two hundred forty-six thousand, five hundred sixty-four".