101998368 has 144 divisors (see below), whose sum is σ = 312058656. Its totient is φ = 31488000.

The previous prime is 101998343. The next prime is 101998409. The reversal of 101998368 is 863899101.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 406243 + ... + 406493.

It is an arithmetic number, because the mean of its divisors is an integer number (2167074).

Almost surely, 2^101998368 is an apocalyptic number.

101998368 is a gapful number since it is divisible by the number (18) 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 101998368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156029328).

101998368 is an abundant number, since it is smaller than the sum of its proper divisors (210060288).

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

101998368 is a wasteful number, since it uses less digits than its factorization.

101998368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 367 (or 356 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 45.

The square root of 101998368 is about 10099.4241419994. The cubic root of 101998368 is about 467.2303809136.

The spelling of 101998368 in words is "one hundred one million, nine hundred ninety-eight thousand, three hundred sixty-eight".