100450116 has 72 divisors (see below), whose sum is σ = 280886424. Its totient is φ = 30067200.

The previous prime is 100450109. The next prime is 100450121. The reversal of 100450116 is 611054001.

100450116 is a `hidden beast` number, since 100 + 450 + 116 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 46867716 + 53582400 = 6846^2 + 7320^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14416 + ... + 20216.

Almost surely, 2^100450116 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 100450116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140443212).

100450116 is an abundant number, since it is smaller than the sum of its proper divisors (180436308).

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

100450116 is a wasteful number, since it uses less digits than its factorization.

100450116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5861 (or 5856 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 100450116 is about 10022.4805312857. The cubic root of 100450116 is about 464.8542588702.

The spelling of 100450116 in words is "one hundred million, four hundred fifty thousand, one hundred sixteen".