101488128 has 80 divisors (see below), whose sum is σ = 309027840. Its totient is φ = 28993536.

The previous prime is 101488099. The next prime is 101488129. The reversal of 101488128 is 821884101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101488129) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6033 + ... + 15471.

It is an arithmetic number, because the mean of its divisors is an integer number (3862848).

Almost surely, 2^101488128 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 101488128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154513920).

101488128 is an abundant number, since it is smaller than the sum of its proper divisors (207539712).

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

101488128 is an frugal number, since it uses more digits than its factorization.

101488128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9467 (or 9451 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 33.

The square root of 101488128 is about 10074.1316251079. The cubic root of 101488128 is about 466.4499819432.

The spelling of 101488128 in words is "one hundred one million, four hundred eighty-eight thousand, one hundred twenty-eight".