101224032 has 96 divisors (see below), whose sum is σ = 327059712. Its totient is φ = 26694144.

The previous prime is 101224027. The next prime is 101224037. The reversal of 101224032 is 230422101.

It is an interprime number because it is at equal distance from previous prime (101224027) and next prime (101224037).

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101224037) 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, 2943 + ... + 14529.

It is an arithmetic number, because the mean of its divisors is an integer number (3406872).

Almost surely, 2^101224032 is an apocalyptic number.

101224032 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 101224032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163529856).

101224032 is an abundant number, since it is smaller than the sum of its proper divisors (225835680).

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

101224032 is a wasteful number, since it uses less digits than its factorization.

101224032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11620 (or 11612 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 101224032 is about 10061.0154557082. The cubic root of 101224032 is about 466.0450262571.

Adding to 101224032 its reverse (230422101), we get a palindrome (331646133).

The spelling of 101224032 in words is "one hundred one million, two hundred twenty-four thousand, thirty-two".