968008101 has 24 divisors (see below), whose sum is σ = 1374338304. Its totient is φ = 605928960.

The previous prime is 968008087. The next prime is 968008109. The reversal of 968008101 is 101800869.

968008101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 968008101 - 2⁶ = 968008037 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (968008109) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 450636 + ... + 452778.

It is an arithmetic number, because the mean of its divisors is an integer number (57264096).

Almost surely, 2^968008101 is an apocalyptic number.

It is an amenable number.

968008101 is a deficient number, since it is larger than the sum of its proper divisors (406330203).

968008101 is a wasteful number, since it uses less digits than its factorization.

968008101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2701 (or 2684 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 33.

The square root of 968008101 is about 31112.8285599365. The cubic root of 968008101 is about 989.2202481637.

The spelling of 968008101 in words is "nine hundred sixty-eight million, eight thousand, one hundred one".