106516 has 12 divisors (see below), whose sum is σ = 192640. Its totient is φ = 51480.

The previous prime is 106501. The next prime is 106531. The reversal of 106516 is 615601.

It is an interprime number because it is at equal distance from previous prime (106501) and next prime (106531).

It is a super-2 number, since 2×106516² = 22691316512, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106493 and 106502.

It is a congruent number.

It is an unprimeable number.

106516 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 306 + ... + 553.

2¹⁰⁶⁵¹⁶ is an apocalyptic number.

It is an amenable number.

106516 is a deficient number, since it is larger than the sum of its proper divisors (86124).

106516 is a wasteful number, since it uses less digits than its factorization.

106516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 894 (or 892 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 19.

The square root of 106516 is about 326.3678905775. The cubic root of 106516 is about 47.4029041524.

It can be divided in two parts, 1065 and 16, that added together give a triangular number (1081 = T₄₆).

The spelling of 106516 in words is "one hundred six thousand, five hundred sixteen".