100789984 has 48 divisors (see below), whose sum is σ = 211150800. Its totient is φ = 47222784.

The previous prime is 100789981. The next prime is 100789987. The reversal of 100789984 is 489987001.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (100789981) and next prime (100789987).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100789981) 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, 58122 + ... + 59830.

It is an arithmetic number, because the mean of its divisors is an integer number (4398975).

Almost surely, 2^100789984 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 100789984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105575400).

100789984 is an abundant number, since it is smaller than the sum of its proper divisors (110360816).

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

100789984 is a wasteful number, since it uses less digits than its factorization.

100789984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1835 (or 1827 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 46.

The square root of 100789984 is about 10039.4214972776. The cubic root of 100789984 is about 465.3779391637.

The spelling of 100789984 in words is "one hundred million, seven hundred eighty-nine thousand, nine hundred eighty-four".