100001440 has 96 divisors (see below), whose sum is σ = 294585984. Its totient is φ = 31165440.

The previous prime is 100001431. The next prime is 100001449. The reversal of 100001440 is 44100001.

It is an interprime number because it is at equal distance from previous prime (100001431) and next prime (100001449).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (100001449) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8262 + ... + 16378.

It is an arithmetic number, because the mean of its divisors is an integer number (3068604).

Almost surely, 2^100001440 is an apocalyptic number.

100001440 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 100001440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147292992).

100001440 is an abundant number, since it is smaller than the sum of its proper divisors (194584544).

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

100001440 is a wasteful number, since it uses less digits than its factorization.

100001440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8150 (or 8142 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 100001440 is about 10000.0719997408. The cubic root of 100001440 is about 464.1611113132.

Adding to 100001440 its reverse (44100001), we get a palindrome (144101441).

The spelling of 100001440 in words is "one hundred million, one thousand, four hundred forty".