100806356845638 has 24 divisors (see below), whose sum is σ = 218417109213576. Its totient is φ = 33601605710400.

The previous prime is 100806356845637. The next prime is 100806356845669. The reversal of 100806356845638 is 836548653608001.

100806356845638 is a `hidden beast` number, since 1 + 0 + 0 + 8 + 0 + 6 + 3 + 5 + 68 + 4 + 563 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100806356845637) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 41557708 + ... + 43916463.

It is an arithmetic number, because the mean of its divisors is an integer number (9100712883899).

Almost surely, 2^{100806356845638} is an apocalyptic number.

100806356845638 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

100806356845638 is an abundant number, since it is smaller than the sum of its proper divisors (117610752367938).

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

100806356845638 is a wasteful number, since it uses less digits than its factorization.

100806356845638 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85539700 (or 85539697 counting only the distinct ones).

The product of its (nonzero) digits is 99532800, while the sum is 63.

The spelling of 100806356845638 in words is "one hundred trillion, eight hundred six billion, three hundred fifty-six million, eight hundred forty-five thousand, six hundred thirty-eight".