101171160 has 128 divisors (see below), whose sum is σ = 340632000. Its totient is φ = 26707968.

The previous prime is 101171159. The next prime is 101171167. The reversal of 101171160 is 61171101.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101171167) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 121626 + ... + 122454.

Almost surely, 2^101171160 is an apocalyptic number.

101171160 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 101171160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170316000).

101171160 is an abundant number, since it is smaller than the sum of its proper divisors (239460840).

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

101171160 is a wasteful number, since it uses less digits than its factorization.

101171160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 962 (or 952 counting only the distinct ones).

The product of its (nonzero) digits is 42, while the sum is 18.

The square root of 101171160 is about 10058.3875447310. The cubic root of 101171160 is about 465.9638695609.

The spelling of 101171160 in words is "one hundred one million, one hundred seventy-one thousand, one hundred sixty".