101068160 has 64 divisors (see below), whose sum is σ = 245326320. Its totient is φ = 39806976.

The previous prime is 101068147. The next prime is 101068169. The reversal of 101068160 is 61860101.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101068169) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 41702 + ... + 44058.

Almost surely, 2^101068160 is an apocalyptic number.

101068160 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 101068160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122663160).

101068160 is an abundant number, since it is smaller than the sum of its proper divisors (144258160).

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

101068160 is an equidigital number, since it uses as much as digits as its factorization.

101068160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2443 (or 2431 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 23.

The square root of 101068160 is about 10053.2661359381. The cubic root of 101068160 is about 465.8056868829.

The spelling of 101068160 in words is "one hundred one million, sixty-eight thousand, one hundred sixty".