101036160 has 160 divisors (see below), whose sum is σ = 361003500. Its totient is φ = 26929152.

The previous prime is 101036153. The next prime is 101036183. The reversal of 101036160 is 61630101.

It can be written as a sum of positive squares in 2 ways, for example, as 100160064 + 876096 = 10008^2 + 936^2 .

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 50866 + ... + 52814.

Almost surely, 2^101036160 is an apocalyptic number.

101036160 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 101036160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180501750).

101036160 is an abundant number, since it is smaller than the sum of its proper divisors (259967340).

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

101036160 is an equidigital number, since it uses as much as digits as its factorization.

101036160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1980 (or 1959 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 101036160 is about 10051.6744873678. The cubic root of 101036160 is about 465.7565208699.

Adding to 101036160 its reverse (61630101), we get a palindrome (162666261).

The spelling of 101036160 in words is "one hundred one million, thirty-six thousand, one hundred sixty".