105661616 has 20 divisors (see below), whose sum is σ = 211779600. Its totient is φ = 51008832.

The previous prime is 105661597. The next prime is 105661627. The reversal of 105661616 is 616166501.

It is a super-2 number, since 2×105661616² = 22328754191462912, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 113396 + ... + 114323.

It is an arithmetic number, because the mean of its divisors is an integer number (10588980).

Almost surely, 2^105661616 is an apocalyptic number.

105661616 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

105661616 is an abundant number, since it is smaller than the sum of its proper divisors (106117984).

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

105661616 is a wasteful number, since it uses less digits than its factorization.

105661616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227756 (or 227750 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 32.

The square root of 105661616 is about 10279.1836251718. The cubic root of 105661616 is about 472.7582135208.

The spelling of 105661616 in words is "one hundred five million, six hundred sixty-one thousand, six hundred sixteen".