100508929 has 2 divisors, whose sum is σ = 100508930. Its totient is φ = 100508928.

The previous prime is 100508927. The next prime is 100508939. The reversal of 100508929 is 929805001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 100460529 + 48400 = 10023^2 + 220^2 .

It is an emirp because it is prime and its reverse (929805001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 100508929 - 2¹ = 100508927 is a prime.

Together with 100508927, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 100508894 and 100508903.

It is not a weakly prime, because it can be changed into another prime (100508921) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50254464 + 50254465.

It is an arithmetic number, because the mean of its divisors is an integer number (50254465).

Almost surely, 2^100508929 is an apocalyptic number.

It is an amenable number.

100508929 is a deficient number, since it is larger than the sum of its proper divisors (1).

100508929 is an equidigital number, since it uses as much as digits as its factorization.

100508929 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 6480, while the sum is 34.

The square root of 100508929 is about 10025.4141560337. The cubic root of 100508929 is about 464.9449643887.

The spelling of 100508929 in words is "one hundred million, five hundred eight thousand, nine hundred twenty-nine".