100428318093600 has 576 divisors, whose sum is σ = 421299335116800. Its totient is φ = 22612429255680.

The previous prime is 100428318093527. The next prime is 100428318093613. The reversal of 100428318093600 is 6390813824001.

100428318093600 is a `hidden beast` number, since 1 + 0 + 0 + 4 + 2 + 8 + 31 + 8 + 0 + 9 + 3 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5173621 + ... + 15087179.

It is an arithmetic number, because the mean of its divisors is an integer number (731422456800).

Almost surely, 2^{100428318093600} is an apocalyptic number.

100428318093600 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 100428318093600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210649667558400).

100428318093600 is an abundant number, since it is smaller than the sum of its proper divisors (320871017023200).

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

100428318093600 is a wasteful number, since it uses less digits than its factorization.

100428318093600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9913662 (or 9913643 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 100428318093600 in words is "one hundred trillion, four hundred twenty-eight billion, three hundred eighteen million, ninety-three thousand, six hundred".