100006016 has 64 divisors (see below), whose sum is σ = 219512160. Its totient is φ = 45379840.

The previous prime is 100005991. The next prime is 100006033. The reversal of 100006016 is 610600001.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 170075 + ... + 170661.

Almost surely, 2^100006016 is an apocalyptic number.

100006016 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 100006016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109756080).

100006016 is an abundant number, since it is smaller than the sum of its proper divisors (119506144).

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

100006016 is an frugal number, since it uses more digits than its factorization.

100006016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 634 (or 600 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

The square root of 100006016 is about 10000.3007954761. The cubic root of 100006016 is about 464.1681911074.

Adding to 100006016 its reverse (610600001), we get a palindrome (710606017).

The spelling of 100006016 in words is "one hundred million, six thousand, sixteen".