100121328 has 60 divisors (see below), whose sum is σ = 281890440. Its totient is φ = 33172608.

The previous prime is 100121321. The next prime is 100121341. The reversal of 100121328 is 823121001.

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

It is a self number, because there is not a number n which added to its sum of digits gives 100121328.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100121321) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22903 + ... + 26921.

It is an arithmetic number, because the mean of its divisors is an integer number (4698174).

Almost surely, 2^100121328 is an apocalyptic number.

100121328 is a gapful number since it is divisible by the number (18) 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 100121328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140945220).

100121328 is an abundant number, since it is smaller than the sum of its proper divisors (181769112).

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

100121328 is a wasteful number, since it uses less digits than its factorization.

100121328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4206 (or 4197 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 100121328 is about 10006.0645610550. The cubic root of 100121328 is about 464.3465257242.

Adding to 100121328 its reverse (823121001), we get a palindrome (923242329).

The spelling of 100121328 in words is "one hundred million, one hundred twenty-one thousand, three hundred twenty-eight".