105416 has 8 divisors (see below), whose sum is σ = 197670. Its totient is φ = 52704.

The previous prime is 105407. The next prime is 105437. The reversal of 105416 is 614501.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 84100 + 21316 = 290^2 + 146^2 .

It is a tau number, because it is divible by the number of its divisors (8).

It is a super-2 number, since 2×105416² = 22225066112, which contains 22 as substring.

It is an Ulam number.

It is an alternating number because its digits alternate between odd and even.

It is a junction number, because it is equal to n+sod(n) for n = 105394 and 105403.

It is an unprimeable number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6581 + ... + 6596.

2¹⁰⁵⁴¹⁶ is an apocalyptic number.

It is an amenable number.

105416 is a deficient number, since it is larger than the sum of its proper divisors (92254).

105416 is a wasteful number, since it uses less digits than its factorization.

105416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13183 (or 13179 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 17.

The square root of 105416 is about 324.6783023240. The cubic root of 105416 is about 47.2391612177.

Adding to 105416 its reverse (614501), we get a palindrome (719917).

The spelling of 105416 in words is "one hundred five thousand, four hundred sixteen".