101124160 has 112 divisors (see below), whose sum is σ = 264170160. Its totient is φ = 36700160.

The previous prime is 101124083. The next prime is 101124217. The reversal of 101124160 is 61421101.

It can be written as a sum of positive squares in 8 ways, for example, as 10188864 + 90935296 = 3192^2 + 9536^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 157440 + ... + 158080.

Almost surely, 2^101124160 is an apocalyptic number.

101124160 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 101124160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132085080).

101124160 is an abundant number, since it is smaller than the sum of its proper divisors (163046000).

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

101124160 is a wasteful number, since it uses less digits than its factorization.

101124160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 704 (or 694 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

The square root of 101124160 is about 10056.0509147478. The cubic root of 101124160 is about 465.8917024398.

Adding to 101124160 its reverse (61421101), we get a palindrome (162545261).

The spelling of 101124160 in words is "one hundred one million, one hundred twenty-four thousand, one hundred sixty".