101980032 has 128 divisors (see below), whose sum is σ = 337824000. Its totient is φ = 26480640.

The previous prime is 101980013. The next prime is 101980033. The reversal of 101980032 is 230089101.

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 (24).

It is a junction number, because it is equal to n+sod(n) for n = 101979984 and 101980011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101980033) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27844 + ... + 31292.

It is an arithmetic number, because the mean of its divisors is an integer number (2639250).

Almost surely, 2^101980032 is an apocalyptic number.

101980032 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 101980032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168912000).

101980032 is an abundant number, since it is smaller than the sum of its proper divisors (235843968).

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

101980032 is a wasteful number, since it uses less digits than its factorization.

101980032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3484 (or 3472 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

The square root of 101980032 is about 10098.5163266690. The cubic root of 101980032 is about 467.2023816104.

The spelling of 101980032 in words is "one hundred one million, nine hundred eighty thousand, thirty-two".