106596816 has 40 divisors (see below), whose sum is σ = 275979360. Its totient is φ = 35454336.

The previous prime is 106596811. The next prime is 106596839. The reversal of 106596816 is 618695601.

It is a happy number.

It is a super-2 number, since 2×106596816² = 22725762362675712, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106596811) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22251 + ... + 26613.

It is an arithmetic number, because the mean of its divisors is an integer number (6899484).

Almost surely, 2^106596816 is an apocalyptic number.

106596816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

106596816 is an abundant number, since it is smaller than the sum of its proper divisors (169382544).

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

106596816 is a wasteful number, since it uses less digits than its factorization.

106596816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4883 (or 4877 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 42.

The square root of 106596816 is about 10324.5734052308. The cubic root of 106596816 is about 474.1488965899.

The spelling of 106596816 in words is "one hundred six million, five hundred ninety-six thousand, eight hundred sixteen".