105665616 has 60 divisors (see below), whose sum is σ = 337965472. Its totient is φ = 30189888.

The previous prime is 105665597. The next prime is 105665629. The reversal of 105665616 is 616566501.

It is a super-2 number, since 2×105665616² = 22330444809318912, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 51406 + ... + 53421.

Almost surely, 2^105665616 is an apocalyptic number.

105665616 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

105665616 is an abundant number, since it is smaller than the sum of its proper divisors (232299856).

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

105665616 is a wasteful number, since it uses less digits than its factorization.

105665616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104848 (or 104839 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 105665616 is about 10279.3781913110. The cubic root of 105665616 is about 472.7641791340.

The spelling of 105665616 in words is "one hundred five million, six hundred sixty-five thousand, six hundred sixteen".