101442432 has 128 divisors (see below), whose sum is σ = 331752960. Its totient is φ = 26744832.

The previous prime is 101442427. The next prime is 101442437. The reversal of 101442432 is 234244101.

It is an interprime number because it is at equal distance from previous prime (101442427) and next prime (101442437).

It is a tau number, because it is divible by the number of its divisors (128).

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

It is a junction number, because it is equal to n+sod(n) for n = 101442399 and 101442408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101442437) 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, 33493 + ... + 36395.

It is an arithmetic number, because the mean of its divisors is an integer number (2591820).

Almost surely, 2^101442432 is an apocalyptic number.

101442432 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 101442432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165876480).

101442432 is an abundant number, since it is smaller than the sum of its proper divisors (230310528).

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

101442432 is a wasteful number, since it uses less digits than its factorization.

101442432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2940 (or 2928 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 101442432 is about 10071.8633827113. The cubic root of 101442432 is about 466.3799635786.

Adding to 101442432 its reverse (234244101), we get a palindrome (335686533).

The spelling of 101442432 in words is "one hundred one million, four hundred forty-two thousand, four hundred thirty-two".