100141430400 has 1152 divisors, whose sum is σ = 416716185600. Its totient is φ = 22643712000.

The previous prime is 100141430383. The next prime is 100141430461. The reversal of 100141430400 is 4034141001.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 764438335 + ... + 764438465.

It is an arithmetic number, because the mean of its divisors is an integer number (361732800).

Almost surely, 2^100141430400 is an apocalyptic number.

100141430400 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 100141430400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208358092800).

100141430400 is an abundant number, since it is smaller than the sum of its proper divisors (316574755200).

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

100141430400 is a wasteful number, since it uses less digits than its factorization.

100141430400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 100141430400 its reverse (4034141001), we get a palindrome (104175571401).

The spelling of 100141430400 in words is "one hundred billion, one hundred forty-one million, four hundred thirty thousand, four hundred".