100010727 has 16 divisors (see below), whose sum is σ = 149114080. Its totient is φ = 66246336.

The previous prime is 100010717. The next prime is 100010731. The reversal of 100010727 is 727010001.

It is not a de Polignac number, because 100010727 - 2⁶ = 100010663 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100010717) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7558 + ... + 16035.

It is an arithmetic number, because the mean of its divisors is an integer number (9319630).

Almost surely, 2^100010727 is an apocalyptic number.

100010727 is a deficient number, since it is larger than the sum of its proper divisors (49103353).

100010727 is a wasteful number, since it uses less digits than its factorization.

100010727 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23759 (or 23753 counting only the distinct ones).

The product of its (nonzero) digits is 98, while the sum is 18.

The square root of 100010727 is about 10000.5363356172. The cubic root of 100010727 is about 464.1754795423.

Adding to 100010727 its reverse (727010001), we get a palindrome (827020728).

The spelling of 100010727 in words is "one hundred million, ten thousand, seven hundred twenty-seven".