100051504130400 has 288 divisors, whose sum is σ = 335177686005120. Its totient is φ = 25912185569280.

The previous prime is 100051504130359. The next prime is 100051504130411. The reversal of 100051504130400 is 4031405150001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7496304 + ... + 16009296.

It is an arithmetic number, because the mean of its divisors is an integer number (1163811409740).

Almost surely, 2^{100051504130400} is an apocalyptic number.

100051504130400 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 100051504130400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167588843002560).

100051504130400 is an abundant number, since it is smaller than the sum of its proper divisors (235126181874720).

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

100051504130400 is a wasteful number, since it uses less digits than its factorization.

100051504130400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8513158 (or 8513145 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

Adding to 100051504130400 its reverse (4031405150001), we get a palindrome (104082909280401).

The spelling of 100051504130400 in words is "one hundred trillion, fifty-one billion, five hundred four million, one hundred thirty thousand, four hundred".