101082016 has 48 divisors (see below), whose sum is σ = 228795840. Its totient is φ = 43061760.

The previous prime is 101082011. The next prime is 101082019. The reversal of 101082016 is 610280101.

It is a junction number, because it is equal to n+sod(n) for n = 101081984 and 101082002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101082011) 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, 38836 + ... + 41356.

It is an arithmetic number, because the mean of its divisors is an integer number (4766580).

Almost surely, 2^101082016 is an apocalyptic number.

101082016 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 101082016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114397920).

101082016 is an abundant number, since it is smaller than the sum of its proper divisors (127713824).

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

101082016 is a wasteful number, since it uses less digits than its factorization.

101082016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2717 (or 2709 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 19.

The square root of 101082016 is about 10053.9552415952. The cubic root of 101082016 is about 465.8269725469.

The spelling of 101082016 in words is "one hundred one million, eighty-two thousand, sixteen".