100424001040 has 160 divisors (see below), whose sum is σ = 258225615360. Its totient is φ = 36016896000.

The previous prime is 100424001017. The next prime is 100424001049. The reversal of 100424001040 is 40100424001.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (100424001049) 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 31 ways as a sum of consecutive naturals, for example, 24617721 + ... + 24621799.

It is an arithmetic number, because the mean of its divisors is an integer number (1613910096).

Almost surely, 2^100424001040 is an apocalyptic number.

100424001040 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 100424001040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129112807680).

100424001040 is an abundant number, since it is smaller than the sum of its proper divisors (157801614320).

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

100424001040 is a wasteful number, since it uses less digits than its factorization.

100424001040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4481 (or 4475 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 100424001040 its reverse (40100424001), we get a palindrome (140524425041).

The spelling of 100424001040 in words is "one hundred billion, four hundred twenty-four million, one thousand, forty".