106505616 has 80 divisors (see below), whose sum is σ = 320912000. Its totient is φ = 30425472.

The previous prime is 106505599. The next prime is 106505627. The reversal of 106505616 is 616505601.

It is a super-2 number, since 2×106505616² = 22686892479078912, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13230 + ... + 19698.

It is an arithmetic number, because the mean of its divisors is an integer number (4011400).

Almost surely, 2^106505616 is an apocalyptic number.

106505616 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106505616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160456000).

106505616 is an abundant number, since it is smaller than the sum of its proper divisors (214406384).

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

106505616 is an equidigital number, since it uses as much as digits as its factorization.

106505616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6501 (or 6481 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 30.

The square root of 106505616 is about 10320.1558127772. The cubic root of 106505616 is about 474.0136370233.

The spelling of 106505616 in words is "one hundred six million, five hundred five thousand, six hundred sixteen".