105825287 has 8 divisors (see below), whose sum is σ = 108097920. Its totient is φ = 103574520.

The previous prime is 105825281. The next prime is 105825299. The reversal of 105825287 is 782528501.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 105825287 - 2⁴ = 105825271 is a prime.

It is a super-2 number, since 2×105825287² = 22397982737264738, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 105825287.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105825281) 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, 4508 + ... + 15230.

It is an arithmetic number, because the mean of its divisors is an integer number (13512240).

Almost surely, 2^105825287 is an apocalyptic number.

105825287 is a deficient number, since it is larger than the sum of its proper divisors (2272633).

105825287 is a wasteful number, since it uses less digits than its factorization.

105825287 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10933.

The product of its (nonzero) digits is 44800, while the sum is 38.

The square root of 105825287 is about 10287.1418285158. The cubic root of 105825287 is about 473.0021901395.

The spelling of 105825287 in words is "one hundred five million, eight hundred twenty-five thousand, two hundred eighty-seven".