100101984 has 96 divisors (see below), whose sum is σ = 281957760. Its totient is φ = 30984192.

The previous prime is 100101973. The next prime is 100102019. The reversal of 100101984 is 489101001.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 135087 + ... + 135825.

It is an arithmetic number, because the mean of its divisors is an integer number (2937060).

Almost surely, 2^100101984 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 100101984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140978880).

100101984 is an abundant number, since it is smaller than the sum of its proper divisors (181855776).

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

100101984 is a wasteful number, since it uses less digits than its factorization.

100101984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 852 (or 844 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 24.

The square root of 100101984 is about 10005.0979005705. The cubic root of 100101984 is about 464.3166190169.

Adding to 100101984 its reverse (489101001), we get a palindrome (589202985).

The spelling of 100101984 in words is "one hundred million, one hundred one thousand, nine hundred eighty-four".