105029047 has 2 divisors, whose sum is σ = 105029048. Its totient is φ = 105029046.

The previous prime is 105028993. The next prime is 105029059. The reversal of 105029047 is 740920501.

It is a happy number.

It is a strong prime.

It is an emirp because it is prime and its reverse (740920501) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-105029047 is a prime.

It is a super-2 number, since 2×105029047² = 22062201427456418, which contains 22 as substring.

It is a Chen prime.

It is equal to p_6034249 and since 105029047 and 6034249 have the same sum of digits, it is a Honaker prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105029087) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52514523 + 52514524.

It is an arithmetic number, because the mean of its divisors is an integer number (52514524).

Almost surely, 2^105029047 is an apocalyptic number.

105029047 is a deficient number, since it is larger than the sum of its proper divisors (1).

105029047 is an equidigital number, since it uses as much as digits as its factorization.

105029047 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2520, while the sum is 28.

The square root of 105029047 is about 10248.3680164210. The cubic root of 105029047 is about 471.8128971499.

Adding to 105029047 its reverse (740920501), we get a palindrome (845949548).

The spelling of 105029047 in words is "one hundred five million, twenty-nine thousand, forty-seven".