100542452472000 has 1792 divisors, whose sum is σ = 460769326018560. Its totient is φ = 20852508672000.

The previous prime is 100542452471971. The next prime is 100542452472001. The reversal of 100542452472000 is 274254245001.

100542452472000 is a `hidden beast` number, since 1 + 0 + 0 + 5 + 424 + 5 + 24 + 7 + 200 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (100542452472001) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 9264018574 + ... + 9264029426.

Almost surely, 2^{100542452472000} is an apocalyptic number.

100542452472000 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 100542452472000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230384663009280).

100542452472000 is an abundant number, since it is smaller than the sum of its proper divisors (360226873546560).

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

100542452472000 is a wasteful number, since it uses less digits than its factorization.

100542452472000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11464 (or 11438 counting only the distinct ones).

The product of its (nonzero) digits is 89600, while the sum is 36.

The spelling of 100542452472000 in words is "one hundred trillion, five hundred forty-two billion, four hundred fifty-two million, four hundred seventy-two thousand".