100545400454400 has 1296 divisors, whose sum is σ = 401478291369792. Its totient is φ = 23801610240000.

The previous prime is 100545400454329. The next prime is 100545400454407. The reversal of 100545400454400 is 4454004545001.

100545400454400 is a `hidden beast` number, since 10 + 0 + 54 + 54 + 0 + 0 + 4 + 544 + 0 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100545400454407) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4671522039 + ... + 4671543561.

Almost surely, 2^{100545400454400} is an apocalyptic number.

100545400454400 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 100545400454400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200739145684896).

100545400454400 is an abundant number, since it is smaller than the sum of its proper divisors (300932890915392).

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

100545400454400 is a wasteful number, since it uses less digits than its factorization.

100545400454400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21740 (or 21718 counting only the distinct ones).

The product of its (nonzero) digits is 128000, while the sum is 36.

Adding to 100545400454400 its reverse (4454004545001), we get a palindrome (104999404999401).

The spelling of 100545400454400 in words is "one hundred trillion, five hundred forty-five billion, four hundred million, four hundred fifty-four thousand, four hundred".