100141440 has 128 divisors (see below), whose sum is σ = 364849920. Its totient is φ = 22886400.

The previous prime is 100141421. The next prime is 100141493. The reversal of 100141440 is 44141001.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9715 + ... + 17165.

It is an arithmetic number, because the mean of its divisors is an integer number (2850390).

Almost surely, 2^100141440 is an apocalyptic number.

100141440 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 100141440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182424960).

100141440 is an abundant number, since it is smaller than the sum of its proper divisors (264708480).

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

100141440 is an equidigital number, since it uses as much as digits as its factorization.

100141440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7480 (or 7468 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 100141440 is about 10007.0695011077. The cubic root of 100141440 is about 464.3776157102.

Adding to 100141440 its reverse (44141001), we get a palindrome (144282441).

The spelling of 100141440 in words is "one hundred million, one hundred forty-one thousand, four hundred forty".