101998880 has 48 divisors (see below), whose sum is σ = 242512704. Its totient is φ = 40538880.

The previous prime is 101998873. The next prime is 101998889. The reversal of 101998880 is 88899101.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (101998889) 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, 24125 + ... + 28035.

It is an arithmetic number, because the mean of its divisors is an integer number (5052348).

Almost surely, 2^101998880 is an apocalyptic number.

101998880 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 101998880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121256352).

101998880 is an abundant number, since it is smaller than the sum of its proper divisors (140513824).

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

101998880 is a wasteful number, since it uses less digits than its factorization.

101998880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4089 (or 4081 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 44.

The square root of 101998880 is about 10099.4494899475. The cubic root of 101998880 is about 467.2311626959.

It can be divided in two parts, 1019 and 98880, that added together give a palindrome (99899).

The spelling of 101998880 in words is "one hundred one million, nine hundred ninety-eight thousand, eight hundred eighty".