100253557749600 has 432 divisors, whose sum is σ = 370563468138864. Its totient is φ = 25475659776000.

The previous prime is 100253557749563. The next prime is 100253557749673. The reversal of 100253557749600 is 6947755352001.

It is a happy number.

100253557749600 is a `hidden beast` number, since 1 + 0 + 0 + 2 + 5 + 3 + 5 + 577 + 4 + 9 + 60 + 0 = 666.

100253557749600 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8744620 + ... + 16642580.

It is an arithmetic number, because the mean of its divisors is an integer number (857785805877).

Almost surely, 2^{100253557749600} is an apocalyptic number.

100253557749600 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 100253557749600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185281734069432).

100253557749600 is an abundant number, since it is smaller than the sum of its proper divisors (270309910389264).

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

100253557749600 is a wasteful number, since it uses less digits than its factorization.

100253557749600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7898071 (or 7898055 counting only the distinct ones).

The product of its (nonzero) digits is 7938000, while the sum is 54.

The spelling of 100253557749600 in words is "one hundred trillion, two hundred fifty-three billion, five hundred fifty-seven million, seven hundred forty-nine thousand, six hundred".