100859751072 has 192 divisors, whose sum is σ = 300611606400. Its totient is φ = 33303239424.

The previous prime is 100859751059. The next prime is 100859751121. The reversal of 100859751072 is 270157958001.

100859751072 is a `hidden beast` number, since 1 + 0 + 0 + 8 + 597 + 51 + 0 + 7 + 2 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7481554 + ... + 7495022.

It is an arithmetic number, because the mean of its divisors is an integer number (1565685450).

Almost surely, 2^100859751072 is an apocalyptic number.

100859751072 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 100859751072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150305803200).

100859751072 is an abundant number, since it is smaller than the sum of its proper divisors (199751855328).

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

100859751072 is an equidigital number, since it uses as much as digits as its factorization.

100859751072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13607 (or 13581 counting only the distinct ones).

The product of its (nonzero) digits is 176400, while the sum is 45.

The spelling of 100859751072 in words is "one hundred billion, eight hundred fifty-nine million, seven hundred fifty-one thousand, seventy-two".