100897729788240 has 7200 divisors, whose sum is σ = 508506253516800. Its totient is φ = 18074235801600.

The previous prime is 100897729788143. The next prime is 100897729788241. The reversal of 100897729788240 is 42887927798001.

100897729788240 is a `hidden beast` number, since 1 + 0 + 0 + 8 + 97 + 7 + 297 + 8 + 8 + 240 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100897729788241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 1439 ways as a sum of consecutive naturals, for example, 1710131013331 + ... + 1710131013389.

It is an arithmetic number, because the mean of its divisors is an integer number (70625868544).

Almost surely, 2^{100897729788240} is an apocalyptic number.

100897729788240 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 100897729788240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254253126758400).

100897729788240 is an abundant number, since it is smaller than the sum of its proper divisors (407608523728560).

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

100897729788240 is a wasteful number, since it uses less digits than its factorization.

100897729788240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 227598336, while the sum is 72.

The spelling of 100897729788240 in words is "one hundred trillion, eight hundred ninety-seven billion, seven hundred twenty-nine million, seven hundred eighty-eight thousand, two hundred forty".