100010442400 has 288 divisors, whose sum is σ = 284848643520. Its totient is φ = 33884160000.

The previous prime is 100010442379. The next prime is 100010442401. The reversal of 100010442400 is 4244010001.

100010442400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 (100010442401) 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 47 ways as a sum of consecutive naturals, for example, 15106291 + ... + 15112909.

It is an arithmetic number, because the mean of its divisors is an integer number (989057790).

Almost surely, 2^100010442400 is an apocalyptic number.

100010442400 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 100010442400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142424321760).

100010442400 is an abundant number, since it is smaller than the sum of its proper divisors (184838201120).

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

100010442400 is a wasteful number, since it uses less digits than its factorization.

100010442400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6768 (or 6755 counting only the distinct ones).

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

Adding to 100010442400 its reverse (4244010001), we get a palindrome (104254452401).

The spelling of 100010442400 in words is "one hundred billion, ten million, four hundred forty-two thousand, four hundred".