101616108 has 48 divisors (see below), whose sum is σ = 259822080. Its totient is φ = 30654400.

The previous prime is 101616103. The next prime is 101616127. The reversal of 101616108 is 801616101.

It is not an unprimeable number, because it can be changed into a prime (101616101) by changing a digit.

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, 29938 + ... + 33158.

It is an arithmetic number, because the mean of its divisors is an integer number (5412960).

Almost surely, 2^101616108 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 101616108, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129911040).

101616108 is an abundant number, since it is smaller than the sum of its proper divisors (158205972).

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

101616108 is a wasteful number, since it uses less digits than its factorization.

101616108 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3478 (or 3476 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 24.

The square root of 101616108 is about 10080.4815361172. The cubic root of 101616108 is about 466.6459693768.

The spelling of 101616108 in words is "one hundred one million, six hundred sixteen thousand, one hundred eight".