106006016 has 80 divisors (see below), whose sum is σ = 236435760. Its totient is φ = 47185920.

The previous prime is 106006013. The next prime is 106006037. The reversal of 106006016 is 610600601.

It is a super-2 number, since 2×106006016² = 22474550856384512, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106006013) 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, 165056 + ... + 165696.

It is an arithmetic number, because the mean of its divisors is an integer number (2955447).

Almost surely, 2^106006016 is an apocalyptic number.

106006016 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 106006016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118217880).

106006016 is an abundant number, since it is smaller than the sum of its proper divisors (130429744).

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

106006016 is an equidigital number, since it uses as much as digits as its factorization.

106006016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 695 (or 679 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

The square root of 106006016 is about 10295.9222996291. The cubic root of 106006016 is about 473.2713022372.

Adding to 106006016 its reverse (610600601), we get a palindrome (716606617).

The spelling of 106006016 in words is "one hundred six million, six thousand, sixteen".