101242032 has 80 divisors (see below), whose sum is σ = 284267520. Its totient is φ = 30931200.

The previous prime is 101242019. The next prime is 101242069. The reversal of 101242032 is 230242101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26482 + ... + 30062.

It is an arithmetic number, because the mean of its divisors is an integer number (3553344).

Almost surely, 2^101242032 is an apocalyptic number.

101242032 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 101242032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142133760).

101242032 is an abundant number, since it is smaller than the sum of its proper divisors (183025488).

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

101242032 is a wasteful number, since it uses less digits than its factorization.

101242032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3642 (or 3636 counting only the distinct ones).

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

The square root of 101242032 is about 10061.9099578559. The cubic root of 101242032 is about 466.0726491878.

Adding to 101242032 its reverse (230242101), we get a palindrome (331484133).

The spelling of 101242032 in words is "one hundred one million, two hundred forty-two thousand, thirty-two".