100343461348800 has 840 divisors, whose sum is σ = 372579253580160. Its totient is φ = 26487191808000.

The previous prime is 100343461348747. The next prime is 100343461348883. The reversal of 100343461348800 is 8843164343001.

100343461348800 is a `hidden beast` number, since 1 + 0 + 0 + 3 + 434 + 6 + 134 + 8 + 80 + 0 = 666.

It is a super-2 number, since 2×100343461348800² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 119 ways as a sum of consecutive naturals, for example, 26056466875 + ... + 26056470725.

Almost surely, 2^{100343461348800} is an apocalyptic number.

100343461348800 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 100343461348800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186289626790080).

100343461348800 is an abundant number, since it is smaller than the sum of its proper divisors (272235792231360).

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

100343461348800 is a wasteful number, since it uses less digits than its factorization.

100343461348800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5871 (or 5847 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 100343461348800 in words is "one hundred trillion, three hundred forty-three billion, four hundred sixty-one million, three hundred forty-eight thousand, eight hundred".