100427509 has 24 divisors (see below), whose sum is σ = 129240888. Its totient is φ = 77293440.

The previous prime is 100427501. The next prime is 100427531. The reversal of 100427509 is 905724001.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 44222500 + 56205009 = 6650^2 + 7497^2 .

It is not a de Polignac number, because 100427509 - 2³ = 100427501 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100427501) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21439 + ... + 25699.

It is an arithmetic number, because the mean of its divisors is an integer number (5385037).

Almost surely, 2^100427509 is an apocalyptic number.

It is an amenable number.

100427509 is a deficient number, since it is larger than the sum of its proper divisors (28813379).

100427509 is a wasteful number, since it uses less digits than its factorization.

100427509 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4325 (or 4318 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 28.

The square root of 100427509 is about 10021.3526532100. The cubic root of 100427509 is about 464.8193833548.

The spelling of 100427509 in words is "one hundred million, four hundred twenty-seven thousand, five hundred nine".