100528558812 has 384 divisors, whose sum is σ = 319915008000. Its totient is φ = 26928599040.

The previous prime is 100528558799. The next prime is 100528558831. The reversal of 100528558812 is 218855825001.

100528558812 is a `hidden beast` number, since 1 + 0 + 0 + 52 + 8 + 5 + 588 + 12 = 666.

It is a super-2 number, since 2×100528558812² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 21667989 + ... + 21672627.

It is an arithmetic number, because the mean of its divisors is an integer number (833112000).

Almost surely, 2^100528558812 is an apocalyptic number.

100528558812 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 100528558812, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159957504000).

100528558812 is an abundant number, since it is smaller than the sum of its proper divisors (219386449188).

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

100528558812 is a wasteful number, since it uses less digits than its factorization.

100528558812 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4746 (or 4738 counting only the distinct ones).

The product of its (nonzero) digits is 256000, while the sum is 45.

The spelling of 100528558812 in words is "one hundred billion, five hundred twenty-eight million, five hundred fifty-eight thousand, eight hundred twelve".