100743471360 has 720 divisors, whose sum is σ = 415599292416. Its totient is φ = 22824861696.

The previous prime is 100743471359. The next prime is 100743471377. The reversal of 100743471360 is 63174347001.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 92170974 + ... + 92172066.

Almost surely, 2^100743471360 is an apocalyptic number.

100743471360 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 100743471360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207799646208).

100743471360 is an abundant number, since it is smaller than the sum of its proper divisors (314855821056).

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

100743471360 is a wasteful number, since it uses less digits than its factorization.

100743471360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1260 (or 1237 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The spelling of 100743471360 in words is "one hundred billion, seven hundred forty-three million, four hundred seventy-one thousand, three hundred sixty".