101288160 has 144 divisors (see below), whose sum is σ = 356952960. Its totient is φ = 26127360.

The previous prime is 101288119. The next prime is 101288197. The reversal of 101288160 is 61882101.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43506 + ... + 45774.

It is an arithmetic number, because the mean of its divisors is an integer number (2478840).

Almost surely, 2^101288160 is an apocalyptic number.

101288160 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 101288160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178476480).

101288160 is an abundant number, since it is smaller than the sum of its proper divisors (255664800).

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

101288160 is a wasteful number, since it uses less digits than its factorization.

101288160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2321 (or 2310 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 27.

The square root of 101288160 is about 10064.2019057648. The cubic root of 101288160 is about 466.1434226088.

The spelling of 101288160 in words is "one hundred one million, two hundred eighty-eight thousand, one hundred sixty".