105360147 has 12 divisors (see below), whose sum is σ = 152353344. Its totient is φ = 70163280.

The previous prime is 105360121. The next prime is 105360221. The reversal of 105360147 is 741063501.

105360147 is a `hidden beast` number, since 1 + 0 + 53 + 601 + 4 + 7 = 666.

It is not a de Polignac number, because 105360147 - 2⁶ = 105360083 is a prime.

It is a super-2 number, since 2×105360147² = 22201521151723218, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105360147.

It is not an unprimeable number, because it can be changed into a prime (105360347) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3013 + ... + 14825.

It is an arithmetic number, because the mean of its divisors is an integer number (12696112).

Almost surely, 2^105360147 is an apocalyptic number.

105360147 is a deficient number, since it is larger than the sum of its proper divisors (46993197).

105360147 is a wasteful number, since it uses less digits than its factorization.

105360147 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12810 (or 12807 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 105360147 is about 10264.5090968833. The cubic root of 105360147 is about 472.3081676976.

The spelling of 105360147 in words is "one hundred five million, three hundred sixty thousand, one hundred forty-seven".