106510117 has 16 divisors (see below), whose sum is σ = 129772800. Its totient is φ = 85333248.

The previous prime is 106510099. The next prime is 106510133. The reversal of 106510117 is 711015601.

106510117 = T₁₂₇₈ + T₁₂₇₉ + ... + T₁₃₉₆.

It is not a de Polignac number, because 106510117 - 2¹¹ = 106508069 is a prime.

It is a super-2 number, since 2×106510117² = 22688810046707378, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106510147) 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, 14728 + ... + 20734.

It is an arithmetic number, because the mean of its divisors is an integer number (8110800).

Almost surely, 2^106510117 is an apocalyptic number.

106510117 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

106510117 is a deficient number, since it is larger than the sum of its proper divisors (23262683).

106510117 is a wasteful number, since it uses less digits than its factorization.

106510117 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6180.

The product of its (nonzero) digits is 210, while the sum is 22.

The square root of 106510117 is about 10320.3738788864. The cubic root of 106510117 is about 474.0203143092.

Adding to 106510117 its reverse (711015601), we get a palindrome (817525718).

The spelling of 106510117 in words is "one hundred six million, five hundred ten thousand, one hundred seventeen".