100411488 has 144 divisors (see below), whose sum is σ = 304995600. Its totient is φ = 32472576.

The previous prime is 100411481. The next prime is 100411517. The reversal of 100411488 is 884114001.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100411481) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 287538 + ... + 287886.

It is an arithmetic number, because the mean of its divisors is an integer number (2118025).

Almost surely, 2^100411488 is an apocalyptic number.

100411488 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 100411488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152497800).

100411488 is an abundant number, since it is smaller than the sum of its proper divisors (204584112).

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

100411488 is an equidigital number, since it uses as much as digits as its factorization.

100411488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 411 (or 391 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 27.

The square root of 100411488 is about 10020.5532781379. The cubic root of 100411488 is about 464.7946648043.

Adding to 100411488 its reverse (884114001), we get a palindrome (984525489).

The spelling of 100411488 in words is "one hundred million, four hundred eleven thousand, four hundred eighty-eight".