106988064 has 48 divisors (see below), whose sum is σ = 281762208. Its totient is φ = 35546112.

The previous prime is 106988039. The next prime is 106988117. The reversal of 106988064 is 460889601.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×106988064² = 22892891676936192, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30699 + ... + 34005.

It is an arithmetic number, because the mean of its divisors is an integer number (5870046).

Almost surely, 2^106988064 is an apocalyptic number.

It is an amenable number.

106988064 is an abundant number, since it is smaller than the sum of its proper divisors (174774144).

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

106988064 is a wasteful number, since it uses less digits than its factorization.

106988064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3657 (or 3649 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 42.

The square root of 106988064 is about 10343.5034683612. The cubic root of 106988064 is about 474.7282863375.

The spelling of 106988064 in words is "one hundred six million, nine hundred eighty-eight thousand, sixty-four".