105672027 has 32 divisors (see below), whose sum is σ = 152570880. Its totient is φ = 64915200.

The previous prime is 105672011. The next prime is 105672071. The reversal of 105672027 is 720276501.

It is not a de Polignac number, because 105672027 - 2⁴ = 105672011 is a prime.

It is a super-2 number, since 2×105672027² = 22333154580577458, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105671985 and 105672003.

It is not an unprimeable number, because it can be changed into a prime (105674027) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 175527 + ... + 176127.

It is an arithmetic number, because the mean of its divisors is an integer number (4767840).

Almost surely, 2^105672027 is an apocalyptic number.

105672027 is a deficient number, since it is larger than the sum of its proper divisors (46898853).

105672027 is a wasteful number, since it uses less digits than its factorization.

105672027 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 723.

The product of its (nonzero) digits is 5880, while the sum is 30.

The square root of 105672027 is about 10279.6900245095. The cubic root of 105672027 is about 472.7737402066.

The spelling of 105672027 in words is "one hundred five million, six hundred seventy-two thousand, twenty-seven".