100475727 has 16 divisors (see below), whose sum is σ = 146430720. Its totient is φ = 60776000.

The previous prime is 100475701. The next prime is 100475773. The reversal of 100475727 is 727574001.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 100475727 - 2¹⁸ = 100213583 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100475827) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16102 + ... + 21452.

It is an arithmetic number, because the mean of its divisors is an integer number (9151920).

Almost surely, 2^100475727 is an apocalyptic number.

100475727 is a deficient number, since it is larger than the sum of its proper divisors (45954993).

100475727 is a wasteful number, since it uses less digits than its factorization.

100475727 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5934.

The product of its (nonzero) digits is 13720, while the sum is 33.

The square root of 100475727 is about 10023.7581275687. The cubic root of 100475727 is about 464.8937622948.

The spelling of 100475727 in words is "one hundred million, four hundred seventy-five thousand, seven hundred twenty-seven".