105616115 has 32 divisors (see below), whose sum is σ = 149299200. Its totient is φ = 70913920.

The previous prime is 105616111. The next prime is 105616139. The reversal of 105616115 is 511616501.

It is not a de Polignac number, because 105616115 - 2² = 105616111 is a prime.

It is a super-2 number, since 2×105616115² = 22309527495386450, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105616111) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35246 + ... + 38124.

It is an arithmetic number, because the mean of its divisors is an integer number (4665600).

Almost surely, 2^105616115 is an apocalyptic number.

105616115 is a deficient number, since it is larger than the sum of its proper divisors (43683085).

105616115 is a wasteful number, since it uses less digits than its factorization.

105616115 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2947.

The product of its (nonzero) digits is 900, while the sum is 26.

The square root of 105616115 is about 10276.9701274257. The cubic root of 105616115 is about 472.6903425797.

It can be divided in two parts, 1056 and 16115, that added together give a palindrome (17171).

The spelling of 105616115 in words is "one hundred five million, six hundred sixteen thousand, one hundred fifteen".