100629509 has 2 divisors, whose sum is σ = 100629510. Its totient is φ = 100629508.

The previous prime is 100629497. The next prime is 100629523. The reversal of 100629509 is 905926001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 60497284 + 40132225 = 7778^2 + 6335^2 .

It is a cyclic number.

It is not a de Polignac number, because 100629509 - 2⁴ = 100629493 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100629569) 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 as a sum of consecutive naturals, namely, 50314754 + 50314755.

It is an arithmetic number, because the mean of its divisors is an integer number (50314755).

Almost surely, 2^100629509 is an apocalyptic number.

It is an amenable number.

100629509 is a deficient number, since it is larger than the sum of its proper divisors (1).

100629509 is an equidigital number, since it uses as much as digits as its factorization.

100629509 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4860, while the sum is 32.

The square root of 100629509 is about 10031.4260701059. The cubic root of 100629509 is about 465.1308207094.

The spelling of 100629509 in words is "one hundred million, six hundred twenty-nine thousand, five hundred nine".