101324112 has 80 divisors (see below), whose sum is σ = 277273920. Its totient is φ = 31795200.

The previous prime is 101324101. The next prime is 101324117. The reversal of 101324112 is 211423101.

It is a junction number, because it is equal to n+sod(n) for n = 101324091 and 101324100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101324117) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 219562 + ... + 220022.

It is an arithmetic number, because the mean of its divisors is an integer number (3465924).

Almost surely, 2^101324112 is an apocalyptic number.

101324112 is a gapful number since it is divisible by the number (12) 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 101324112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138636960).

101324112 is an abundant number, since it is smaller than the sum of its proper divisors (175949808).

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

101324112 is a wasteful number, since it uses less digits than its factorization.

101324112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 732 (or 726 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 101324112 is about 10065.9878799848. The cubic root of 101324112 is about 466.1985682642.

Adding to 101324112 its reverse (211423101), we get a palindrome (312747213).

The spelling of 101324112 in words is "one hundred one million, three hundred twenty-four thousand, one hundred twelve".