101068320 has 96 divisors (see below), whose sum is σ = 320060160. Its totient is φ = 26808320.

The previous prime is 101068307. The next prime is 101068333. The reversal of 101068320 is 23860101.

It is an interprime number because it is at equal distance from previous prime (101068307) and next prime (101068333).

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 114280 + ... + 115160.

It is an arithmetic number, because the mean of its divisors is an integer number (3333960).

Almost surely, 2^101068320 is an apocalyptic number.

101068320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101068320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160030080).

101068320 is an abundant number, since it is smaller than the sum of its proper divisors (218991840).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101068320 is a wasteful number, since it uses less digits than its factorization.

101068320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1138 (or 1130 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 101068320 is about 10053.2740935478. The cubic root of 101068320 is about 465.8059326869.

The spelling of 101068320 in words is "one hundred one million, sixty-eight thousand, three hundred twenty".