106386616 has 64 divisors (see below), whose sum is σ = 238392000. Its totient is φ = 43545600.

The previous prime is 106386607. The next prime is 106386619. The reversal of 106386616 is 616683601.

It is a happy number.

It is a super-2 number, since 2×106386616² = 22636224127862912, which contains 22 as substring.

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106386619) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 176716 + ... + 177316.

It is an arithmetic number, because the mean of its divisors is an integer number (3724875).

Almost surely, 2^106386616 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 106386616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119196000).

106386616 is an abundant number, since it is smaller than the sum of its proper divisors (132005384).

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

106386616 is a wasteful number, since it uses less digits than its factorization.

106386616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 752 (or 748 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 37.

The square root of 106386616 is about 10314.3887846057. The cubic root of 106386616 is about 473.8370308615.

The spelling of 106386616 in words is "one hundred six million, three hundred eighty-six thousand, six hundred sixteen".