105471953 has 2 divisors, whose sum is σ = 105471954. Its totient is φ = 105471952.

The previous prime is 105471943. The next prime is 105471979. The reversal of 105471953 is 359174501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 105103504 + 368449 = 10252^2 + 607^2 .

It is a cyclic number.

It is not a de Polignac number, because 105471953 - 2⁸ = 105471697 is a prime.

It is a super-2 number, since 2×105471953² = 22248665739268418, which contains 22 as substring.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (105471913) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52735976 + 52735977.

It is an arithmetic number, because the mean of its divisors is an integer number (52735977).

Almost surely, 2^105471953 is an apocalyptic number.

It is an amenable number.

105471953 is a deficient number, since it is larger than the sum of its proper divisors (1).

105471953 is an equidigital number, since it uses as much as digits as its factorization.

105471953 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18900, while the sum is 35.

The square root of 105471953 is about 10269.9538947358. The cubic root of 105471953 is about 472.4751765091.

The spelling of 105471953 in words is "one hundred five million, four hundred seventy-one thousand, nine hundred fifty-three".