106271532488 has 96 divisors (see below), whose sum is σ = 233469264000. Its totient is φ = 45182966400.

The previous prime is 106271532463. The next prime is 106271532509. The reversal of 106271532488 is 884235172601.

106271532488 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×106271532488² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1416398 + ... + 1489538.

It is an arithmetic number, because the mean of its divisors is an integer number (2431971500).

Almost surely, 2^106271532488 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106271532488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116734632000).

106271532488 is an abundant number, since it is smaller than the sum of its proper divisors (127197731512).

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

106271532488 is a wasteful number, since it uses less digits than its factorization.

106271532488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73267 (or 73252 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 47.

The spelling of 106271532488 in words is "one hundred six billion, two hundred seventy-one million, five hundred thirty-two thousand, four hundred eighty-eight".