101532323880 has 960 divisors, whose sum is σ = 411885936000. Its totient is φ = 22233636864.

The previous prime is 101532323821. The next prime is 101532323903. The reversal of 101532323880 is 88323235101.

It is a happy number.

101532323880 is a `hidden beast` number, since 10 + 1 + 532 + 3 + 2 + 38 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 231280701 + ... + 231281139.

It is an arithmetic number, because the mean of its divisors is an integer number (429047850).

Almost surely, 2^101532323880 is an apocalyptic number.

101532323880 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 101532323880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205942968000).

101532323880 is an abundant number, since it is smaller than the sum of its proper divisors (310353612120).

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

101532323880 is a wasteful number, since it uses less digits than its factorization.

101532323880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 528 (or 498 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

Adding to 101532323880 its reverse (88323235101), we get a palindrome (189855558981).

The spelling of 101532323880 in words is "one hundred one billion, five hundred thirty-two million, three hundred twenty-three thousand, eight hundred eighty".