101432352 has 72 divisors (see below), whose sum is σ = 309745296. Its totient is φ = 28979328.

The previous prime is 101432351. The next prime is 101432389. The reversal of 101432352 is 253234101.

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

It is not an unprimeable number, because it can be changed into a prime (101432351) 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 11 ways as a sum of consecutive naturals, for example, 6078 + ... + 15485.

It is an arithmetic number, because the mean of its divisors is an integer number (4302018).

Almost surely, 2^101432352 is an apocalyptic number.

101432352 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101432352 is an abundant number, since it is smaller than the sum of its proper divisors (208312944).

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

101432352 is a wasteful number, since it uses less digits than its factorization.

101432352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21590 (or 21575 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 101432352 is about 10071.3629663517. The cubic root of 101432352 is about 466.3645155205.

Adding to 101432352 its reverse (253234101), we get a palindrome (354666453).

The spelling of 101432352 in words is "one hundred one million, four hundred thirty-two thousand, three hundred fifty-two".