106313664 has 112 divisors (see below), whose sum is σ = 299598080. Its totient is φ = 33177600.

The previous prime is 106313651. The next prime is 106313717. The reversal of 106313664 is 466313601.

It is a super-2 number, since 2×106313664² = 22605190306209792, 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 (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 550752 + ... + 550944.

Almost surely, 2^106313664 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 106313664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149799040).

106313664 is an abundant number, since it is smaller than the sum of its proper divisors (193284416).

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

106313664 is a wasteful number, since it uses less digits than its factorization.

106313664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 378 (or 368 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 30.

The square root of 106313664 is about 10310.8517591904. The cubic root of 106313664 is about 473.7286987403.

The spelling of 106313664 in words is "one hundred six million, three hundred thirteen thousand, six hundred sixty-four".