105366627 has 12 divisors (see below), whose sum is σ = 154340784. Its totient is φ = 69254640.

The previous prime is 105366607. The next prime is 105366673. The reversal of 105366627 is 726663501.

It is not a de Polignac number, because 105366627 - 2¹² = 105362531 is a prime.

It is a super-2 number, since 2×105366627² = 22204252170714258, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105366591 and 105366600.

It is not an unprimeable number, because it can be changed into a prime (105366607) 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, 81808 + ... + 83085.

It is an arithmetic number, because the mean of its divisors is an integer number (12861732).

Almost surely, 2^105366627 is an apocalyptic number.

105366627 is a deficient number, since it is larger than the sum of its proper divisors (48974157).

105366627 is a wasteful number, since it uses less digits than its factorization.

105366627 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164970 (or 164967 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 105366627 is about 10264.8247427806. The cubic root of 105366627 is about 472.3178503409.

The spelling of 105366627 in words is "one hundred five million, three hundred sixty-six thousand, six hundred twenty-seven".