105689616 has 40 divisors (see below), whose sum is σ = 273792000. Its totient is φ = 35131776.

The previous prime is 105689599. The next prime is 105689641. The reversal of 105689616 is 616986501.

It is a happy number.

It is a super-2 number, since 2×105689616² = 22340589860454912, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15510 + ... + 21258.

It is an arithmetic number, because the mean of its divisors is an integer number (6844800).

Almost surely, 2^105689616 is an apocalyptic number.

105689616 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

105689616 is an abundant number, since it is smaller than the sum of its proper divisors (168102384).

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

105689616 is a wasteful number, since it uses less digits than its factorization.

105689616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6143 (or 6137 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 42.

The square root of 105689616 is about 10280.5455108180. The cubic root of 105689616 is about 472.7999696519.

The spelling of 105689616 in words is "one hundred five million, six hundred eighty-nine thousand, six hundred sixteen".