107649 has 12 divisors (see below), whose sum is σ = 161616. Its totient is φ = 71604.

The previous prime is 107647. The next prime is 107671. The reversal of 107649 is 946701.

107649 is a `hidden beast` number, since 10 + 7 + 649 = 666.

It is not a de Polignac number, because 107649 - 2¹ = 107647 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (107641) 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, 22 + ... + 464.

It is an arithmetic number, because the mean of its divisors is an integer number (13468).

107649 is a Friedman number, since it can be written as 7^6-(9+1+0)^4, using all its digits and the basic arithmetic operations.

2¹⁰⁷⁶⁴⁹ is an apocalyptic number.

It is an amenable number.

107649 is a deficient number, since it is larger than the sum of its proper divisors (53967).

107649 is an frugal number, since it uses more digits than its factorization.

107649 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 458 (or 446 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 107649 is about 328.0990704040. The cubic root of 107649 is about 47.5703850340.

The spelling of 107649 in words is "one hundred seven thousand, six hundred forty-nine".