107008121 has 16 divisors (see below), whose sum is σ = 122204160. Its totient is φ = 92751120.

The previous prime is 107008093. The next prime is 107008129. The reversal of 107008121 is 121800701.

It is not a de Polignac number, because 107008121 - 2¹⁴ = 106991737 is a prime.

It is a super-2 number, since 2×107008121² = 22901475919901282, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 107008093 and 107008102.

It is not an unprimeable number, because it can be changed into a prime (107008129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 120746 + ... + 121628.

It is an arithmetic number, because the mean of its divisors is an integer number (7637760).

Almost surely, 2^107008121 is an apocalyptic number.

107008121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

107008121 is a deficient number, since it is larger than the sum of its proper divisors (15196039).

107008121 is a wasteful number, since it uses less digits than its factorization.

107008121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1396.

The product of its (nonzero) digits is 112, while the sum is 20.

The square root of 107008121 is about 10344.4729686920. The cubic root of 107008121 is about 474.7579501771.

Adding to 107008121 its reverse (121800701), we get a palindrome (228808822).

The spelling of 107008121 in words is "one hundred seven million, eight thousand, one hundred twenty-one".