106616064 has 72 divisors (see below), whose sum is σ = 293600160. Its totient is φ = 34306048.

The previous prime is 106616057. The next prime is 106616071. The reversal of 106616064 is 460616601.

106616064 is nontrivially palindromic in base 11.

It is an interprime number because it is at equal distance from previous prime (106616057) and next prime (106616071).

It is a super-2 number, since 2×106616064² = 22733970205704192, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19879 + ... + 24665.

It is an arithmetic number, because the mean of its divisors is an integer number (4077780).

Almost surely, 2^106616064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106616064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146800080).

106616064 is an abundant number, since it is smaller than the sum of its proper divisors (186984096).

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

106616064 is an equidigital number, since it uses as much as digits as its factorization.

106616064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4835 (or 4821 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 106616064 is about 10325.5055082064. The cubic root of 106616064 is about 474.1774336170.

The spelling of 106616064 in words is "one hundred six million, six hundred sixteen thousand, sixty-four".