100743460708800 has 2688 divisors, whose sum is σ = 433804234752000. Its totient is φ = 19888803348480.

The previous prime is 100743460708753. The next prime is 100743460708837. The reversal of 100743460708800 is 8807064347001.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 100743460708800.

It is a congruent number.

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 383 ways as a sum of consecutive naturals, for example, 206865422157 + ... + 206865422643.

It is an arithmetic number, because the mean of its divisors is an integer number (161385504000).

Almost surely, 2^{100743460708800} is an apocalyptic number.

100743460708800 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 100743460708800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216902117376000).

100743460708800 is an abundant number, since it is smaller than the sum of its proper divisors (333060774043200).

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

100743460708800 is a wasteful number, since it uses less digits than its factorization.

100743460708800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 963 (or 948 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 48.

The spelling of 100743460708800 in words is "one hundred trillion, seven hundred forty-three billion, four hundred sixty million, seven hundred eight thousand, eight hundred".