100431414102400 has 192 divisors, whose sum is σ = 249795579805200. Its totient is φ = 39897872179200.

The previous prime is 100431414102377. The next prime is 100431414102427. The reversal of 100431414102400 is 4201414134001.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 745299030 + ... + 745433770.

Almost surely, 2^{100431414102400} is an apocalyptic number.

100431414102400 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 100431414102400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124897789902600).

100431414102400 is an abundant number, since it is smaller than the sum of its proper divisors (149364165702800).

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

100431414102400 is a wasteful number, since it uses less digits than its factorization.

100431414102400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136357 (or 136340 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

Adding to 100431414102400 its reverse (4201414134001), we get a palindrome (104632828236401).

The spelling of 100431414102400 in words is "one hundred trillion, four hundred thirty-one billion, four hundred fourteen million, one hundred two thousand, four hundred".