101309984 has 48 divisors (see below), whose sum is σ = 208857600. Its totient is φ = 48314880.

The previous prime is 101309947. The next prime is 101310007. The reversal of 101309984 is 489903101.

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 7 ways as a sum of consecutive naturals, for example, 71717 + ... + 73115.

It is an arithmetic number, because the mean of its divisors is an integer number (4351200).

Almost surely, 2^101309984 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 101309984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104428800).

101309984 is an abundant number, since it is smaller than the sum of its proper divisors (107547616).

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

101309984 is a wasteful number, since it uses less digits than its factorization.

101309984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1513 (or 1505 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 35.

The square root of 101309984 is about 10065.2860863465. The cubic root of 101309984 is about 466.1768993202.

The spelling of 101309984 in words is "one hundred one million, three hundred nine thousand, nine hundred eighty-four".