105699216 has 40 divisors (see below), whose sum is σ = 312065344. Its totient is φ = 30199680.

The previous prime is 105699211. The next prime is 105699233. The reversal of 105699216 is 612996501.

It is a super-2 number, since 2×105699216² = 22344648526029312, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105699211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 156955 + ... + 157626.

Almost surely, 2^105699216 is an apocalyptic number.

105699216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

105699216 is an abundant number, since it is smaller than the sum of its proper divisors (206366128).

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

105699216 is a wasteful number, since it uses less digits than its factorization.

105699216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314599 (or 314593 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 39.

The square root of 105699216 is about 10281.0124015099. The cubic root of 105699216 is about 472.8142843420.

The spelling of 105699216 in words is "one hundred five million, six hundred ninety-nine thousand, two hundred sixteen".