100321140 has 48 divisors (see below), whose sum is σ = 295686720. Its totient is φ = 25344000.

The previous prime is 100321139. The next prime is 100321141. The reversal of 100321140 is 41123001.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (100321139) and next prime (100321141).

It is a super-4 number, since 4×100321140⁴ (a number of 33 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100321141) by changing a digit.

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, 42861 + ... + 45140.

It is an arithmetic number, because the mean of its divisors is an integer number (6160140).

Almost surely, 2^100321140 is an apocalyptic number.

100321140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100321140 is an abundant number, since it is smaller than the sum of its proper divisors (195365580).

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

100321140 is a wasteful number, since it uses less digits than its factorization.

100321140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88032 (or 88030 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 100321140 is about 10016.0441292958. The cubic root of 100321140 is about 464.6552190417.

Adding to 100321140 its reverse (41123001), we get a palindrome (141444141).

The spelling of 100321140 in words is "one hundred million, three hundred twenty-one thousand, one hundred forty".