100897852166400 has 432 divisors, whose sum is σ = 345453811416000. Its totient is φ = 25903811297280.

The previous prime is 100897852166399. The next prime is 100897852166407. The reversal of 100897852166400 is 4661258798001.

It is not an unprimeable number, because it can be changed into a prime (100897852166407) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 194063587 + ... + 194582813.

It is an arithmetic number, because the mean of its divisors is an integer number (799661600500).

Almost surely, 2^{100897852166400} is an apocalyptic number.

100897852166400 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 100897852166400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172726905708000).

100897852166400 is an abundant number, since it is smaller than the sum of its proper divisors (244555959249600).

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

100897852166400 is a wasteful number, since it uses less digits than its factorization.

100897852166400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 519634 (or 519615 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 57.

The spelling of 100897852166400 in words is "one hundred trillion, eight hundred ninety-seven billion, eight hundred fifty-two million, one hundred sixty-six thousand, four hundred".