100071160 has 128 divisors (see below), whose sum is σ = 275788800. Its totient is φ = 31933440.

The previous prime is 100071151. The next prime is 100071187. The reversal of 100071160 is 61170001.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 263851 + ... + 264229.

It is an arithmetic number, because the mean of its divisors is an integer number (2154600).

Almost surely, 2^100071160 is an apocalyptic number.

100071160 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 100071160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137894400).

100071160 is an abundant number, since it is smaller than the sum of its proper divisors (175717640).

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

100071160 is a wasteful number, since it uses less digits than its factorization.

100071160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 461 (or 457 counting only the distinct ones).

The product of its (nonzero) digits is 42, while the sum is 16.

The square root of 100071160 is about 10003.5573672569. The cubic root of 100071160 is about 464.2689557434.

The spelling of 100071160 in words is "one hundred million, seventy-one thousand, one hundred sixty".