101128032 has 72 divisors (see below), whose sum is σ = 302735160. Its totient is φ = 31933440.

The previous prime is 101128007. The next prime is 101128037. The reversal of 101128032 is 230821101.

It is a tau number, because it is divible by the number of its divisors (72).

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 = 101127996 and 101128014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101128037) 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, 3769 + ... + 14712.

It is an arithmetic number, because the mean of its divisors is an integer number (4204655).

Almost surely, 2^101128032 is an apocalyptic number.

101128032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101128032 is an abundant number, since it is smaller than the sum of its proper divisors (201607128).

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

101128032 is a wasteful number, since it uses less digits than its factorization.

101128032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18516 (or 18505 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 101128032 is about 10056.2434338077. The cubic root of 101128032 is about 465.8976486273.

Adding to 101128032 its reverse (230821101), we get a palindrome (331949133).

The spelling of 101128032 in words is "one hundred one million, one hundred twenty-eight thousand, thirty-two".