100429309 has 2 divisors, whose sum is σ = 100429310. Its totient is φ = 100429308.

The previous prime is 100429261. The next prime is 100429313. The reversal of 100429309 is 903924001.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 58568409 + 41860900 = 7653^2 + 6470^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100429309 is a prime.

It is a super-2 number, since 2×100429309² = 20172092212434962, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100429369) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50214654 + 50214655.

It is an arithmetic number, because the mean of its divisors is an integer number (50214655).

Almost surely, 2^100429309 is an apocalyptic number.

It is an amenable number.

100429309 is a deficient number, since it is larger than the sum of its proper divisors (1).

100429309 is an equidigital number, since it uses as much as digits as its factorization.

100429309 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1944, while the sum is 28.

The square root of 100429309 is about 10021.4424610432. The cubic root of 100429309 is about 464.8221603824.

The spelling of 100429309 in words is "one hundred million, four hundred twenty-nine thousand, three hundred nine".