105432616 has 32 divisors (see below), whose sum is σ = 200712960. Its totient is φ = 51916032.

The previous prime is 105432563. The next prime is 105432617. The reversal of 105432616 is 616234501.

It is a super-2 number, since 2×105432616² = 22232073033206912, which contains 22 as substring.

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (105432617) 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, 201331 + ... + 201853.

It is an arithmetic number, because the mean of its divisors is an integer number (6272280).

Almost surely, 2^105432616 is an apocalyptic number.

It is an amenable number.

105432616 is a deficient number, since it is larger than the sum of its proper divisors (95280344).

105432616 is a wasteful number, since it uses less digits than its factorization.

105432616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 865 (or 861 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

The square root of 105432616 is about 10268.0385663475. The cubic root of 105432616 is about 472.4164308219.

It can be divided in two parts, 1054 and 32616, that added together give a triangular number (33670 = T₂₅₉).

The spelling of 105432616 in words is "one hundred five million, four hundred thirty-two thousand, six hundred sixteen".