101532080 has 80 divisors (see below), whose sum is σ = 255921120. Its totient is φ = 37238784.

The previous prime is 101532077. The next prime is 101532091. The reversal of 101532080 is 80235101.

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

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 242111 + ... + 242529.

It is an arithmetic number, because the mean of its divisors is an integer number (3199014).

Almost surely, 2^101532080 is an apocalyptic number.

101532080 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 101532080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127960560).

101532080 is an abundant number, since it is smaller than the sum of its proper divisors (154389040).

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

101532080 is a wasteful number, since it uses less digits than its factorization.

101532080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 678 (or 672 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 20.

The square root of 101532080 is about 10076.3128176928. The cubic root of 101532080 is about 466.5173082114.

Adding to 101532080 its reverse (80235101), we get a palindrome (181767181).

The spelling of 101532080 in words is "one hundred one million, five hundred thirty-two thousand, eighty".