100055727 has 24 divisors (see below), whose sum is σ = 159685344. Its totient is φ = 60048384.

The previous prime is 100055719. The next prime is 100055731. The reversal of 100055727 is 727550001.

100055727 is a `hidden beast` number, since 100 + 0 + 557 + 2 + 7 = 666.

It is not a de Polignac number, because 100055727 - 2³ = 100055719 is a prime.

It is a super-2 number, since 2×100055727² = 20022297010997058, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 100055727.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100055707) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10698 + ... + 17735.

It is an arithmetic number, because the mean of its divisors is an integer number (6653556).

Almost surely, 2^100055727 is an apocalyptic number.

100055727 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

100055727 is a deficient number, since it is larger than the sum of its proper divisors (59629617).

100055727 is a wasteful number, since it uses less digits than its factorization.

100055727 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28479 (or 28476 counting only the distinct ones).

The product of its (nonzero) digits is 2450, while the sum is 27.

The square root of 100055727 is about 10002.7859619208. The cubic root of 100055727 is about 464.2450879572.

The spelling of 100055727 in words is "one hundred million, fifty-five thousand, seven hundred twenty-seven".