106015016064 has 64 divisors (see below), whose sum is σ = 281649695040. Its totient is φ = 35332402176.

The previous prime is 106015016057. The next prime is 106015016071. The reversal of 106015016064 is 460610510601.

It is an interprime number because it is at equal distance from previous prime (106015016057) and next prime (106015016071).

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×106015016064² (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 7 ways as a sum of consecutive naturals, for example, 2673309 + ... + 2712675.

It is an arithmetic number, because the mean of its divisors is an integer number (4400776485).

Almost surely, 2^106015016064 is an apocalyptic number.

It is an amenable number.

106015016064 is an abundant number, since it is smaller than the sum of its proper divisors (175634678976).

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

106015016064 is an equidigital number, since it uses as much as digits as its factorization.

106015016064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46397 (or 46385 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

Adding to 106015016064 its reverse (460610510601), we get a palindrome (566625526665).

The spelling of 106015016064 in words is "one hundred six billion, fifteen million, sixteen thousand, sixty-four".