106172417 has 16 divisors (see below), whose sum is σ = 116318160. Its totient is φ = 96325632.

The previous prime is 106172413. The next prime is 106172459. The reversal of 106172417 is 714271601.

It is a Cunningham number, because it is equal to 10304²+1.

It can be written as a sum of positive squares in 8 ways, for example, as 58507201 + 47665216 = 7649^2 + 6904^2 .

It is not a de Polignac number, because 106172417 - 2² = 106172413 is a prime.

It is a super-2 number, since 2×106172417² = 22545164263243778, which contains 22 as substring.

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 106172417.

It is not an unprimeable number, because it can be changed into a prime (106172413) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 339053 + ... + 339365.

It is an arithmetic number, because the mean of its divisors is an integer number (7269885).

Almost surely, 2^106172417 is an apocalyptic number.

It is an amenable number.

106172417 is a deficient number, since it is larger than the sum of its proper divisors (10145743).

106172417 is a wasteful number, since it uses less digits than its factorization.

106172417 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 692.

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

The square root of 106172417 is about 10304.0000485248. Note that the first 4 decimals coincide. The cubic root of 106172417 is about 473.5188090923.

The spelling of 106172417 in words is "one hundred six million, one hundred seventy-two thousand, four hundred seventeen".