101865984 has 80 divisors (see below), whose sum is σ = 296097120. Its totient is φ = 30863360.

The previous prime is 101865971. The next prime is 101865991. The reversal of 101865984 is 489568101.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13882 + ... + 19910.

It is an arithmetic number, because the mean of its divisors is an integer number (3701214).

Almost surely, 2^101865984 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 101865984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148048560).

101865984 is an abundant number, since it is smaller than the sum of its proper divisors (194231136).

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

101865984 is an equidigital number, since it uses as much as digits as its factorization.

101865984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6061 (or 6045 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 42.

The square root of 101865984 is about 10092.8679769429. The cubic root of 101865984 is about 467.0281534748.

The spelling of 101865984 in words is "one hundred one million, eight hundred sixty-five thousand, nine hundred eighty-four".