100828758317832 has 256 divisors, whose sum is σ = 289117977120000. Its totient is φ = 32537859563520.

The previous prime is 100828758317821. The next prime is 100828758317857. The reversal of 100828758317832 is 238713857828001.

100828758317832 is a `hidden beast` number, since 1 + 0 + 0 + 8 + 2 + 8 + 7 + 583 + 17 + 8 + 32 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 100828758317832.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2630593644 + ... + 2630631972.

It is an arithmetic number, because the mean of its divisors is an integer number (1129367098125).

Almost surely, 2^{100828758317832} is an apocalyptic number.

100828758317832 is a gapful number since it is divisible by the number (12) 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 100828758317832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144558988560000).

100828758317832 is an abundant number, since it is smaller than the sum of its proper divisors (188289218802168).

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

100828758317832 is a wasteful number, since it uses less digits than its factorization.

100828758317832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40661 (or 40651 counting only the distinct ones).

The product of its (nonzero) digits is 36126720, while the sum is 63.

The spelling of 100828758317832 in words is "one hundred trillion, eight hundred twenty-eight billion, seven hundred fifty-eight million, three hundred seventeen thousand, eight hundred thirty-two".