100016072 has 32 divisors (see below), whose sum is σ = 202513080. Its totient is φ = 46033920.

The previous prime is 100016051. The next prime is 100016087. The reversal of 100016072 is 270610001.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 56640676 + 43375396 = 7526^2 + 6586^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 100016072.

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, 43922 + ... + 46142.

Almost surely, 2^100016072 is an apocalyptic number.

It is an amenable number.

100016072 is an abundant number, since it is smaller than the sum of its proper divisors (102497008).

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

100016072 is a wasteful number, since it uses less digits than its factorization.

100016072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2673 (or 2669 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 17.

The square root of 100016072 is about 10000.8035677139. The cubic root of 100016072 is about 464.1837485678.

Adding to 100016072 its reverse (270610001), we get a palindrome (370626073).

The spelling of 100016072 in words is "one hundred million, sixteen thousand, seventy-two".