105916581 has 6 divisors (see below), whose sum is σ = 152990630. Its totient is φ = 70611048.

The previous prime is 105916543. The next prime is 105916597. The reversal of 105916581 is 185619501.

105916581 is a `hidden beast` number, since 1 + 0 + 591 + 65 + 8 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 59213025 + 46703556 = 7695^2 + 6834^2 .

It is not a de Polignac number, because 105916581 - 2⁷ = 105916453 is a prime.

It is a super-2 number, since 2×105916581² = 22436644261459122, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105926581) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5884246 + ... + 5884263.

Almost surely, 2^105916581 is an apocalyptic number.

It is an amenable number.

105916581 is a deficient number, since it is larger than the sum of its proper divisors (47074049).

105916581 is a wasteful number, since it uses less digits than its factorization.

105916581 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11768515 (or 11768512 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 36.

The square root of 105916581 is about 10291.5781588637. The cubic root of 105916581 is about 473.1381685103.

The spelling of 105916581 in words is "one hundred five million, nine hundred sixteen thousand, five hundred eighty-one".