107312121 has 40 divisors (see below), whose sum is σ = 186715584. Its totient is φ = 60147360.

The previous prime is 107312087. The next prime is 107312123. The reversal of 107312121 is 121213701.

It is a happy number.

It is not a de Polignac number, because 107312121 - 2¹⁰ = 107311097 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 107312094 and 107312103.

It is not an unprimeable number, because it can be changed into a prime (107312123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 28266 + ... + 31836.

Almost surely, 2^107312121 is an apocalyptic number.

It is an amenable number.

107312121 is a deficient number, since it is larger than the sum of its proper divisors (79403463).

107312121 is an equidigital number, since it uses as much as digits as its factorization.

107312121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3643 (or 3634 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 18.

The square root of 107312121 is about 10359.1563845711. The cubic root of 107312121 is about 475.2071059926.

Adding to 107312121 its reverse (121213701), we get a palindrome (228525822).

It can be divided in two parts, 1073121 and 21, that multiplied together give a triangular number (22535541 = T₆₇₁₃).

The spelling of 107312121 in words is "one hundred seven million, three hundred twelve thousand, one hundred twenty-one".