105729553 has 2 divisors, whose sum is σ = 105729554. Its totient is φ = 105729552.

The previous prime is 105729523. The next prime is 105729557. The reversal of 105729553 is 355927501.

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., 100942209 + 4787344 = 10047^2 + 2188^2 .

It is a cyclic number.

It is not a de Polignac number, because 105729553 - 2¹³ = 105721361 is a prime.

It is a super-2 number, since 2×105729553² = 22357476755159618, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105729557) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52864776 + 52864777.

It is an arithmetic number, because the mean of its divisors is an integer number (52864777).

Almost surely, 2^105729553 is an apocalyptic number.

It is an amenable number.

105729553 is a deficient number, since it is larger than the sum of its proper divisors (1).

105729553 is an equidigital number, since it uses as much as digits as its factorization.

105729553 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 47250, while the sum is 37.

The square root of 105729553 is about 10282.4876853804. The cubic root of 105729553 is about 472.8595145573.

The spelling of 105729553 in words is "one hundred five million, seven hundred twenty-nine thousand, five hundred fifty-three".