100810213728 has 192 divisors, whose sum is σ = 306049508352. Its totient is φ = 28459468800.

The previous prime is 100810213723. The next prime is 100810213739. The reversal of 100810213728 is 827312018001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100810213723) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 41604325 + ... + 41606747.

It is an arithmetic number, because the mean of its divisors is an integer number (1594007856).

Almost surely, 2^100810213728 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100810213728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153024754176).

100810213728 is an abundant number, since it is smaller than the sum of its proper divisors (205239294624).

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

100810213728 is a wasteful number, since it uses less digits than its factorization.

100810213728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3157 (or 3149 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 33.

The spelling of 100810213728 in words is "one hundred billion, eight hundred ten million, two hundred thirteen thousand, seven hundred twenty-eight".