100556182666728 has 48 divisors (see below), whose sum is σ = 272340375574020. Its totient is φ = 33518639655936.

The previous prime is 100556182666661. The next prime is 100556182666739. The reversal of 100556182666728 is 827666281655001.

It can be written as a sum of positive squares in 2 ways, for example, as 100101585786084 + 454596880644 = 10005078^2 + 674238^2 .

It is a super-2 number, since 2×100556182666728² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 29515800 + ... + 32745912.

Almost surely, 2^{100556182666728} is an apocalyptic number.

100556182666728 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

100556182666728 is an abundant number, since it is smaller than the sum of its proper divisors (171784192907292).

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

100556182666728 is a wasteful number, since it uses less digits than its factorization.

100556182666728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3662498 (or 3662491 counting only the distinct ones).

The product of its (nonzero) digits is 58060800, while the sum is 63.

The spelling of 100556182666728 in words is "one hundred trillion, five hundred fifty-six billion, one hundred eighty-two million, six hundred sixty-six thousand, seven hundred twenty-eight".