105729731 has 2 divisors, whose sum is σ = 105729732. Its totient is φ = 105729730.

The previous prime is 105729719. The next prime is 105729739. The reversal of 105729731 is 137927501.

It is a happy number.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 105729731 - 2¹⁴ = 105713347 is a prime.

It is a super-2 number, since 2×105729731² = 22357552034664722, which contains 22 as substring.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 105729691 and 105729700.

It is not a weakly prime, because it can be changed into another prime (105729739) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52864865 + 52864866.

It is an arithmetic number, because the mean of its divisors is an integer number (52864866).

Almost surely, 2^105729731 is an apocalyptic number.

105729731 is a deficient number, since it is larger than the sum of its proper divisors (1).

105729731 is an equidigital number, since it uses as much as digits as its factorization.

105729731 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 13230, while the sum is 35.

The square root of 105729731 is about 10282.4963408698. The cubic root of 105729731 is about 472.8597799165.

The spelling of 105729731 in words is "one hundred five million, seven hundred twenty-nine thousand, seven hundred thirty-one".