101434032 has 120 divisors (see below), whose sum is σ = 336534016. Its totient is φ = 28973376.

The previous prime is 101434013. The next prime is 101434043. The reversal of 101434032 is 230434101.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 101433996 and 101434014.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 25353 + ... + 29079.

Almost surely, 2^101434032 is an apocalyptic number.

101434032 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 101434032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168267008).

101434032 is an abundant number, since it is smaller than the sum of its proper divisors (235099984).

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

101434032 is an equidigital number, since it uses as much as digits as its factorization.

101434032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3757 (or 3739 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 101434032 is about 10071.4463708049. The cubic root of 101434032 is about 466.3670902679.

Adding to 101434032 its reverse (230434101), we get a palindrome (331868133).

The spelling of 101434032 in words is "one hundred one million, four hundred thirty-four thousand, thirty-two".