100225416 has 32 divisors (see below), whose sum is σ = 251652960. Its totient is φ = 33263232.

The previous prime is 100225403. The next prime is 100225441. The reversal of 100225416 is 614522001.

It is a super-3 number, since 3×100225416³ (a number of 25 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100225392 and 100225401.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3370 + ... + 14553.

It is an arithmetic number, because the mean of its divisors is an integer number (7864155).

Almost surely, 2^100225416 is an apocalyptic number.

It is an amenable number.

100225416 is an abundant number, since it is smaller than the sum of its proper divisors (151427544).

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

100225416 is a wasteful number, since it uses less digits than its factorization.

100225416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18165 (or 18161 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 100225416 is about 10011.2644556020. The cubic root of 100225416 is about 464.5073844294.

Adding to 100225416 its reverse (614522001), we get a palindrome (714747417).

The spelling of 100225416 in words is "one hundred million, two hundred twenty-five thousand, four hundred sixteen".