106510116 has 24 divisors (see below), whose sum is σ = 248691744. Its totient is φ = 35479360.

The previous prime is 106510099. The next prime is 106510133. The reversal of 106510116 is 611015601.

It is an interprime number because it is at equal distance from previous prime (106510099) and next prime (106510133).

It is a super-2 number, since 2×106510116² = 22688809620666912, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106510092 and 106510101.

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, 29911 + ... + 33281.

It is an arithmetic number, because the mean of its divisors is an integer number (10362156).

Almost surely, 2^106510116 is an apocalyptic number.

It is an amenable number.

106510116 is an abundant number, since it is smaller than the sum of its proper divisors (142181628).

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

106510116 is a wasteful number, since it uses less digits than its factorization.

106510116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6011 (or 6009 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 21.

The square root of 106510116 is about 10320.3738304385. The cubic root of 106510116 is about 474.0203128257.

Adding to 106510116 its reverse (611015601), we get a palindrome (717525717).

The spelling of 106510116 in words is "one hundred six million, five hundred ten thousand, one hundred sixteen".