100645740000 has 1080 divisors, whose sum is σ = 406733647320. Its totient is φ = 24354432000.

The previous prime is 100645739993. The next prime is 100645740001. The reversal of 100645740000 is 47546001.

100645740000 is a `hidden beast` number, since 10 + 0 + 645 + 7 + 4 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1080).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100645740001) by changing a digit.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 1705859971 + ... + 1705860029.

It is an arithmetic number, because the mean of its divisors is an integer number (376605229).

Almost surely, 2^100645740000 is an apocalyptic number.

100645740000 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 100645740000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203366823660).

100645740000 is an abundant number, since it is smaller than the sum of its proper divisors (306087907320).

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

100645740000 is an frugal number, since it uses more digits than its factorization.

100645740000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The spelling of 100645740000 in words is "one hundred billion, six hundred forty-five million, seven hundred forty thousand".