100292009 has 2 divisors, whose sum is σ = 100292010. Its totient is φ = 100292008.

The previous prime is 100291987. The next prime is 100292011. The reversal of 100292009 is 900292001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 68425984 + 31866025 = 8272^2 + 5645^2 .

It is a cyclic number.

It is not a de Polignac number, because 100292009 - 2¹⁶ = 100226473 is a prime.

Together with 100292011, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (100292209) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50146004 + 50146005.

It is an arithmetic number, because the mean of its divisors is an integer number (50146005).

Almost surely, 2^100292009 is an apocalyptic number.

It is an amenable number.

100292009 is a deficient number, since it is larger than the sum of its proper divisors (1).

100292009 is an equidigital number, since it uses as much as digits as its factorization.

100292009 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 324, while the sum is 23.

The square root of 100292009 is about 10014.5898068768. The cubic root of 100292009 is about 464.6102395503.

The spelling of 100292009 in words is "one hundred million, two hundred ninety-two thousand, nine".