106061545568 has 48 divisors (see below), whose sum is σ = 228179778624. Its totient is φ = 48127570560.

The previous prime is 106061545559. The next prime is 106061545619. The reversal of 106061545568 is 865545160601.

It is a super-3 number, since 3×106061545568³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 50030 + ... + 463277.

It is an arithmetic number, because the mean of its divisors is an integer number (4753745388).

Almost surely, 2^106061545568 is an apocalyptic number.

It is an amenable number.

106061545568 is an abundant number, since it is smaller than the sum of its proper divisors (122118233056).

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

106061545568 is a wasteful number, since it uses less digits than its factorization.

106061545568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 513915 (or 513907 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 47.

The spelling of 106061545568 in words is "one hundred six billion, sixty-one million, five hundred forty-five thousand, five hundred sixty-eight".