100235727 has 12 divisors (see below), whose sum is σ = 145758600. Its totient is φ = 66374448.

The previous prime is 100235699. The next prime is 100235747. The reversal of 100235727 is 727532001.

It is not a de Polignac number, because 100235727 - 2¹⁵ = 100202959 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 100235727.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100235747) 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 11 ways as a sum of consecutive naturals, for example, 36033 + ... + 38714.

It is an arithmetic number, because the mean of its divisors is an integer number (12146550).

Almost surely, 2^100235727 is an apocalyptic number.

100235727 is a deficient number, since it is larger than the sum of its proper divisors (45522873).

100235727 is a wasteful number, since it uses less digits than its factorization.

100235727 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74902 (or 74899 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 27.

The square root of 100235727 is about 10011.7794122723. The cubic root of 100235727 is about 464.5233130950.

Adding to 100235727 its reverse (727532001), we get a palindrome (827767728).

The spelling of 100235727 in words is "one hundred million, two hundred thirty-five thousand, seven hundred twenty-seven".