101338432 has 42 divisors (see below), whose sum is σ = 217184478. Its totient is φ = 46637568.

The previous prime is 101338427. The next prime is 101338463. The reversal of 101338432 is 234833101.

It can be written as a sum of positive squares in 3 ways, for example, as 18455616 + 82882816 = 4296^2 + 9104^2 .

It is a super-3 number, since 3×101338432³ (a number of 25 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101338397 and 101338406.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 290194 + ... + 290542.

It is an arithmetic number, because the mean of its divisors is an integer number (5171059).

Almost surely, 2^101338432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101338432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108592239).

101338432 is an abundant number, since it is smaller than the sum of its proper divisors (115846046).

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

101338432 is an frugal number, since it uses more digits than its factorization.

101338432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 723 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

The square root of 101338432 is about 10066.6991610955. The cubic root of 101338432 is about 466.2205296344.

The spelling of 101338432 in words is "one hundred one million, three hundred thirty-eight thousand, four hundred thirty-two".