105103827 has 12 divisors (see below), whose sum is σ = 152380384. Its totient is φ = 69809040.

The previous prime is 105103811. The next prime is 105103837. The reversal of 105103827 is 728301501.

It is not a de Polignac number, because 105103827 - 2⁴ = 105103811 is a prime.

It is a super-2 number, since 2×105103827² = 22093628900091858, 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 105103827.

It is not an unprimeable number, because it can be changed into a prime (105103837) 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 11 ways as a sum of consecutive naturals, for example, 19108 + ... + 23985.

Almost surely, 2^105103827 is an apocalyptic number.

105103827 is a deficient number, since it is larger than the sum of its proper divisors (47276557).

105103827 is a wasteful number, since it uses less digits than its factorization.

105103827 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43370 (or 43367 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 105103827 is about 10252.0157530117. The cubic root of 105103827 is about 471.9248464922.

The spelling of 105103827 in words is "one hundred five million, one hundred three thousand, eight hundred twenty-seven".