100034029 has 2 divisors, whose sum is σ = 100034030. Its totient is φ = 100034028.

The previous prime is 100034003. The next prime is 100034059. The reversal of 100034029 is 920430001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 69806025 + 30228004 = 8355^2 + 5498^2 .

It is an emirp because it is prime and its reverse (920430001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 100034029 - 2⁹ = 100033517 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100033997 and 100034015.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100034059) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50017014 + 50017015.

It is an arithmetic number, because the mean of its divisors is an integer number (50017015).

Almost surely, 2^100034029 is an apocalyptic number.

It is an amenable number.

100034029 is a deficient number, since it is larger than the sum of its proper divisors (1).

100034029 is an equidigital number, since it uses as much as digits as its factorization.

100034029 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 216, while the sum is 19.

The square root of 100034029 is about 10001.7013052780. The cubic root of 100034029 is about 464.2115269325.

The spelling of 100034029 in words is "one hundred million, thirty-four thousand, twenty-nine".