100001160 has 144 divisors (see below), whose sum is σ = 378132300. Its totient is φ = 22853376.

The previous prime is 100001159. The next prime is 100001177. The reversal of 100001160 is 61100001.

It can be written as a sum of positive squares in 2 ways, for example, as 95765796 + 4235364 = 9786^2 + 2058^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 14806 + ... + 20474.

Almost surely, 2^100001160 is an apocalyptic number.

100001160 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 100001160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189066150).

100001160 is an abundant number, since it is smaller than the sum of its proper divisors (278131140).

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

100001160 is a wasteful number, since it uses less digits than its factorization.

100001160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5700 (or 5686 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

The square root of 100001160 is about 10000.0579998318. The cubic root of 100001160 is about 464.1606781020.

Adding to 100001160 its reverse (61100001), we get a palindrome (161101161).

The spelling of 100001160 in words is "one hundred million, one thousand, one hundred sixty".