101411232 has 96 divisors (see below), whose sum is σ = 299230848. Its totient is φ = 29838336.

The previous prime is 101411221. The next prime is 101411237. The reversal of 101411232 is 232114101.

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

It is not an unprimeable number, because it can be changed into a prime (101411237) 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 15 ways as a sum of consecutive naturals, for example, 26938 + ... + 30470.

It is an arithmetic number, because the mean of its divisors is an integer number (3116988).

Almost surely, 2^101411232 is an apocalyptic number.

101411232 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 101411232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149615424).

101411232 is an abundant number, since it is smaller than the sum of its proper divisors (197819616).

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

101411232 is a wasteful number, since it uses less digits than its factorization.

101411232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3582 (or 3574 counting only the distinct ones).

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

The square root of 101411232 is about 10070.3143942977. The cubic root of 101411232 is about 466.3321448417.

Adding to 101411232 its reverse (232114101), we get a palindrome (333525333).

It can be divided in two parts, 1014 and 11232, that added together give a triangular number (12246 = T₁₅₆).

The spelling of 101411232 in words is "one hundred one million, four hundred eleven thousand, two hundred thirty-two".