105872027 has 8 divisors (see below), whose sum is σ = 108601680. Its totient is φ = 103174560.

The previous prime is 105872017. The next prime is 105872029. The reversal of 105872027 is 720278501.

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 105872027 - 2¹⁸ = 105609883 is a prime.

It is a super-2 number, since 2×105872027² = 22417772202177458, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 105871984 and 105872002.

It is not an unprimeable number, because it can be changed into a prime (105872029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1313 + ... + 14610.

It is an arithmetic number, because the mean of its divisors is an integer number (13575210).

Almost surely, 2^105872027 is an apocalyptic number.

105872027 is a deficient number, since it is larger than the sum of its proper divisors (2729653).

105872027 is a wasteful number, since it uses less digits than its factorization.

105872027 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16093.

The product of its (nonzero) digits is 7840, while the sum is 32.

The square root of 105872027 is about 10289.4133457647. The cubic root of 105872027 is about 473.0718170657.

The spelling of 105872027 in words is "one hundred five million, eight hundred seventy-two thousand, twenty-seven".