107116961 has 8 divisors (see below), whose sum is σ = 125728320. Its totient is φ = 89332848.

The previous prime is 107116937. The next prime is 107116993. The reversal of 107116961 is 169611701.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 107116961 - 2⁶ = 107116897 is a prime.

It is a super-2 number, since 2×107116961² = 22948086667751042, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (107116921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 206531 + ... + 207048.

It is an arithmetic number, because the mean of its divisors is an integer number (15716040).

Almost surely, 2^107116961 is an apocalyptic number.

It is an amenable number.

107116961 is a deficient number, since it is larger than the sum of its proper divisors (18611359).

107116961 is an equidigital number, since it uses as much as digits as its factorization.

107116961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 413623.

The product of its (nonzero) digits is 2268, while the sum is 32.

The square root of 107116961 is about 10349.7324119998. The cubic root of 107116961 is about 474.9188574230.

The spelling of 107116961 in words is "one hundred seven million, one hundred sixteen thousand, nine hundred sixty-one".