106645616 has 80 divisors (see below), whose sum is σ = 260340480. Its totient is φ = 41111040.

The previous prime is 106645603. The next prime is 106645631. The reversal of 106645616 is 616546601.

It is a super-2 number, since 2×106645616² = 22746574824038912, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 131420 + ... + 132228.

It is an arithmetic number, because the mean of its divisors is an integer number (3254256).

Almost surely, 2^106645616 is an apocalyptic number.

106645616 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106645616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130170240).

106645616 is an abundant number, since it is smaller than the sum of its proper divisors (153694864).

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

106645616 is a wasteful number, since it uses less digits than its factorization.

106645616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 942 (or 936 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 35.

The square root of 106645616 is about 10326.9364285833. The cubic root of 106645616 is about 474.2212406398.

The spelling of 106645616 in words is "one hundred six million, six hundred forty-five thousand, six hundred sixteen".