101132472 has 96 divisors (see below), whose sum is σ = 306979200. Its totient is φ = 27631296.

The previous prime is 101132461. The next prime is 101132477. The reversal of 101132472 is 274231101.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101132477) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25179 + ... + 28917.

It is an arithmetic number, because the mean of its divisors is an integer number (3197700).

Almost surely, 2^101132472 is an apocalyptic number.

101132472 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 101132472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153489600).

101132472 is an abundant number, since it is smaller than the sum of its proper divisors (205846728).

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

101132472 is a wasteful number, since it uses less digits than its factorization.

101132472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3785 (or 3774 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 21.

The square root of 101132472 is about 10056.4641897637. The cubic root of 101132472 is about 465.9044668993.

Adding to 101132472 its reverse (274231101), we get a palindrome (375363573).

The spelling of 101132472 in words is "one hundred one million, one hundred thirty-two thousand, four hundred seventy-two".