101516016 has 80 divisors (see below), whose sum is σ = 300837888. Its totient is φ = 28896000.

The previous prime is 101516011. The next prime is 101516039. The reversal of 101516016 is 610615101.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 101515983 and 101516001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101516011) 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, 144466 + ... + 145166.

Almost surely, 2^101516016 is an apocalyptic number.

101516016 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 101516016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150418944).

101516016 is an abundant number, since it is smaller than the sum of its proper divisors (199321872).

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

101516016 is a wasteful number, since it uses less digits than its factorization.

101516016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1150 (or 1144 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 21.

The square root of 101516016 is about 10075.5156691854. The cubic root of 101516016 is about 466.4927034123.

The spelling of 101516016 in words is "one hundred one million, five hundred sixteen thousand, sixteen".