100851085622304 has 288 divisors, whose sum is σ = 306849356835840. Its totient is φ = 31307945803776.

The previous prime is 100851085622299. The next prime is 100851085622347. The reversal of 100851085622304 is 403226580158001.

100851085622304 is a `hidden beast` number, since 1 + 0 + 0 + 8 + 5 + 10 + 8 + 5 + 622 + 3 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a self number, because there is not a number n which added to its sum of digits gives 100851085622304.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3399880177 + ... + 3399909839.

It is an arithmetic number, because the mean of its divisors is an integer number (1065449155680).

Almost surely, 2^{100851085622304} 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 100851085622304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153424678417920).

100851085622304 is an abundant number, since it is smaller than the sum of its proper divisors (205998271213536).

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

100851085622304 is a wasteful number, since it uses less digits than its factorization.

100851085622304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36952 (or 36941 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The spelling of 100851085622304 in words is "one hundred trillion, eight hundred fifty-one billion, eighty-five million, six hundred twenty-two thousand, three hundred four".