107216417 has 16 divisors (see below), whose sum is σ = 137288832. Its totient is φ = 81285120.

The previous prime is 107216401. The next prime is 107216419. The reversal of 107216417 is 714612701.

It is not a de Polignac number, because 107216417 - 2⁴ = 107216401 is a prime.

It is a super-3 number, since 3×107216417³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 107216417.

It is not an unprimeable number, because it can be changed into a prime (107216419) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15968 + ... + 21665.

It is an arithmetic number, because the mean of its divisors is an integer number (8580552).

Almost surely, 2^107216417 is an apocalyptic number.

It is an amenable number.

107216417 is a deficient number, since it is larger than the sum of its proper divisors (30072415).

107216417 is a wasteful number, since it uses less digits than its factorization.

107216417 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37688.

The product of its (nonzero) digits is 2352, while the sum is 29.

The square root of 107216417 is about 10354.5360591385. The cubic root of 107216417 is about 475.0657962411.

The spelling of 107216417 in words is "one hundred seven million, two hundred sixteen thousand, four hundred seventeen".