105126147 has 32 divisors (see below), whose sum is σ = 188467200. Its totient is φ = 56536704.

The previous prime is 105126143. The next prime is 105126157. The reversal of 105126147 is 741621501.

It is a happy number.

105126147 is a `hidden beast` number, since 1 + 0 + 512 + 6 + 147 = 666.

It is not a de Polignac number, because 105126147 - 2² = 105126143 is a prime.

It is a super-2 number, since 2×105126147² = 22103013566131218, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 105126147.

It is not an unprimeable number, because it can be changed into a prime (105126143) 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, 13147 + ... + 19572.

It is an arithmetic number, because the mean of its divisors is an integer number (5889600).

Almost surely, 2^105126147 is an apocalyptic number.

105126147 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

105126147 is a deficient number, since it is larger than the sum of its proper divisors (83341053).

105126147 is a wasteful number, since it uses less digits than its factorization.

105126147 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32752 (or 32746 counting only the distinct ones).

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

The square root of 105126147 is about 10253.1042616371. The cubic root of 105126147 is about 471.9582503410.

Adding to 105126147 its reverse (741621501), we get a palindrome (846747648).

The spelling of 105126147 in words is "one hundred five million, one hundred twenty-six thousand, one hundred forty-seven".