100083984 has 160 divisors (see below), whose sum is σ = 347311104. Its totient is φ = 23984640.

The previous prime is 100083983. The next prime is 100084003. The reversal of 100083984 is 489380001.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100083983) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 47007 + ... + 49089.

Almost surely, 2^100083984 is an apocalyptic number.

100083984 is a gapful number since it is divisible by the number (14) 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 100083984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173655552).

100083984 is an abundant number, since it is smaller than the sum of its proper divisors (247227120).

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

100083984 is a wasteful number, since it uses less digits than its factorization.

100083984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2125 (or 2119 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 100083984 is about 10004.1983187060. The cubic root of 100083984 is about 464.2887867342.

The spelling of 100083984 in words is "one hundred million, eighty-three thousand, nine hundred eighty-four".