105766616 has 32 divisors (see below), whose sum is σ = 210432000. Its totient is φ = 49696416.

The previous prime is 105766613. The next prime is 105766643. The reversal of 105766616 is 616667501.

It is a super-2 number, since 2×105766616² = 22373154120182912, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a self number, because there is not a number n which added to its sum of digits gives 105766616.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105766613) 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, 16565 + ... + 22043.

It is an arithmetic number, because the mean of its divisors is an integer number (6576000).

Almost surely, 2^105766616 is an apocalyptic number.

It is an amenable number.

105766616 is a deficient number, since it is larger than the sum of its proper divisors (104665384).

105766616 is a wasteful number, since it uses less digits than its factorization.

105766616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5631 (or 5627 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 38.

The square root of 105766616 is about 10284.2897664350. The cubic root of 105766616 is about 472.9147609990.

The spelling of 105766616 in words is "one hundred five million, seven hundred sixty-six thousand, six hundred sixteen".