100840320 has 384 divisors, whose sum is σ = 414348480. Its totient is φ = 22118400.

The previous prime is 100840307. The next prime is 100840321. The reversal of 100840320 is 23048001.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 100840293 and 100840302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100840321) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1653090 + ... + 1653150.

Almost surely, 2^100840320 is an apocalyptic number.

100840320 is a gapful number since it is divisible by the number (10) 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 100840320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207174240).

100840320 is an abundant number, since it is smaller than the sum of its proper divisors (313508160).

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

100840320 is a wasteful number, since it uses less digits than its factorization.

100840320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 100840320 is about 10041.9281017143. The cubic root of 100840320 is about 465.4553984655.

Adding to 100840320 its reverse (23048001), we get a palindrome (123888321).

It can be divided in two parts, 1008 and 40320, that added together give a triangular number (41328 = T₂₈₇).

The spelling of 100840320 in words is "one hundred million, eight hundred forty thousand, three hundred twenty".