100009933 has 2 divisors, whose sum is σ = 100009934. Its totient is φ = 100009932.

The previous prime is 100009913. The next prime is 100009969. The reversal of 100009933 is 339900001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 80676324 + 19333609 = 8982^2 + 4397^2 .

It is a cyclic number.

It is not a de Polignac number, because 100009933 - 2⁹ = 100009421 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100009898 and 100009907.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100009913) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50004966 + 50004967.

It is an arithmetic number, because the mean of its divisors is an integer number (50004967).

Almost surely, 2^100009933 is an apocalyptic number.

It is an amenable number.

100009933 is a deficient number, since it is larger than the sum of its proper divisors (1).

100009933 is an equidigital number, since it uses as much as digits as its factorization.

100009933 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 729, while the sum is 25.

The square root of 100009933 is about 10000.4966376676. The cubic root of 100009933 is about 464.1742511531.

Adding to 100009933 its reverse (339900001), we get a palindrome (439909934).

The spelling of 100009933 in words is "one hundred million, nine thousand, nine hundred thirty-three".