105034037 has 2 divisors, whose sum is σ = 105034038. Its totient is φ = 105034036.

The previous prime is 105034003. The next prime is 105034057. The reversal of 105034037 is 730430501.

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., 53567761 + 51466276 = 7319^2 + 7174^2 .

It is a cyclic number.

It is not a de Polignac number, because 105034037 - 2⁸ = 105033781 is a prime.

It is a super-2 number, since 2×105034037² = 22064297857034738, which contains 22 as substring.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105034057) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52517018 + 52517019.

It is an arithmetic number, because the mean of its divisors is an integer number (52517019).

Almost surely, 2^105034037 is an apocalyptic number.

It is an amenable number.

105034037 is a deficient number, since it is larger than the sum of its proper divisors (1).

105034037 is an equidigital number, since it uses as much as digits as its factorization.

105034037 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1260, while the sum is 23.

The square root of 105034037 is about 10248.6114669257. The cubic root of 105034037 is about 471.8203690800.

Adding to 105034037 its reverse (730430501), we get a palindrome (835464538).

The spelling of 105034037 in words is "one hundred five million, thirty-four thousand, thirty-seven".