101032880 has 80 divisors (see below), whose sum is σ = 266337120. Its totient is φ = 35334144.

The previous prime is 101032879. The next prime is 101032891. The reversal of 101032880 is 88230101.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 17204 + ... + 22316.

It is an arithmetic number, because the mean of its divisors is an integer number (3329214).

Almost surely, 2^101032880 is an apocalyptic number.

101032880 is a gapful number since it is divisible by the number (10) 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 101032880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133168560).

101032880 is an abundant number, since it is smaller than the sum of its proper divisors (165304240).

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

101032880 is a wasteful number, since it uses less digits than its factorization.

101032880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5158 (or 5152 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 23.

The square root of 101032880 is about 10051.5113291485. The cubic root of 101032880 is about 465.7514807670.

Adding to 101032880 its reverse (88230101), we get a palindrome (189262981).

The spelling of 101032880 in words is "one hundred one million, thirty-two thousand, eight hundred eighty".