100356127840400 has 240 divisors, whose sum is σ = 242563814922240. Its totient is φ = 39900715008000.

The previous prime is 100356127840363. The next prime is 100356127840457. The reversal of 100356127840400 is 4048721653001.

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, 87190379825 + ... + 87190380975.

It is an arithmetic number, because the mean of its divisors is an integer number (1010682562176).

Almost surely, 2^{100356127840400} is an apocalyptic number.

100356127840400 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 100356127840400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121281907461120).

100356127840400 is an abundant number, since it is smaller than the sum of its proper divisors (142207687081840).

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

100356127840400 is a wasteful number, since it uses less digits than its factorization.

100356127840400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3034 (or 3023 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 41.

The spelling of 100356127840400 in words is "one hundred trillion, three hundred fifty-six billion, one hundred twenty-seven million, eight hundred forty thousand, four hundred".