100029133 has 2 divisors, whose sum is σ = 100029134. Its totient is φ = 100029132.

The previous prime is 100029121. The next prime is 100029169. The reversal of 100029133 is 331920001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 71267364 + 28761769 = 8442^2 + 5363^2 .

It is a cyclic number.

It is not a de Polignac number, because 100029133 - 2⁵ = 100029101 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 100029133.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100020133) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50014566 + 50014567.

It is an arithmetic number, because the mean of its divisors is an integer number (50014567).

Almost surely, 2^100029133 is an apocalyptic number.

It is an amenable number.

100029133 is a deficient number, since it is larger than the sum of its proper divisors (1).

100029133 is an equidigital number, since it uses as much as digits as its factorization.

100029133 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 162, while the sum is 19.

The square root of 100029133 is about 10001.4565439240. The cubic root of 100029133 is about 464.2039534540.

Adding to 100029133 its reverse (331920001), we get a palindrome (431949134).

The spelling of 100029133 in words is "one hundred million, twenty-nine thousand, one hundred thirty-three".