106516084 has 24 divisors (see below), whose sum is σ = 197709120. Its totient is φ = 50038656.

The previous prime is 106516049. The next prime is 106516087. The reversal of 106516084 is 480615601.

It is a super-2 number, since 2×106516084² = 22691352301390112, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106516087) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 56119 + ... + 57985.

It is an arithmetic number, because the mean of its divisors is an integer number (8237880).

Almost surely, 2^106516084 is an apocalyptic number.

It is an amenable number.

106516084 is a deficient number, since it is larger than the sum of its proper divisors (91193036).

106516084 is a wasteful number, since it uses less digits than its factorization.

106516084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2727 (or 2725 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 31.

The square root of 106516084 is about 10320.6629632015. The cubic root of 106516084 is about 474.0291661331.

The spelling of 106516084 in words is "one hundred six million, five hundred sixteen thousand, eighty-four".