105383616 has 56 divisors (see below), whose sum is σ = 300282864. Its totient is φ = 32424960.

The previous prime is 105383611. The next prime is 105383623. The reversal of 105383616 is 616383501.

It is a super-2 number, since 2×105383616² = 22211413042470912, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105383611) 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, 18615 + ... + 23606.

It is an arithmetic number, because the mean of its divisors is an integer number (5362194).

Almost surely, 2^105383616 is an apocalyptic number.

105383616 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

105383616 is an abundant number, since it is smaller than the sum of its proper divisors (194899248).

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

105383616 is a wasteful number, since it uses less digits than its factorization.

105383616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42249 (or 42239 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 105383616 is about 10265.6522442561. The cubic root of 105383616 is about 472.3432340162.

The spelling of 105383616 in words is "one hundred five million, three hundred eighty-three thousand, six hundred sixteen".