105284929 has 2 divisors, whose sum is σ = 105284930. Its totient is φ = 105284928.

The previous prime is 105284917. The next prime is 105284951. The reversal of 105284929 is 929482501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 65934400 + 39350529 = 8120^2 + 6273^2 .

It is a cyclic number.

It is not a de Polignac number, because 105284929 - 2¹³ = 105276737 is a prime.

It is a super-2 number, since 2×105284929² = 22169832549070082, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105284891 and 105284900.

It is not a weakly prime, because it can be changed into another prime (105284989) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52642464 + 52642465.

It is an arithmetic number, because the mean of its divisors is an integer number (52642465).

Almost surely, 2^105284929 is an apocalyptic number.

It is an amenable number.

105284929 is a deficient number, since it is larger than the sum of its proper divisors (1).

105284929 is an equidigital number, since it uses as much as digits as its factorization.

105284929 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 51840, while the sum is 40.

The square root of 105284929 is about 10260.8444584254. The cubic root of 105284929 is about 472.1957452611.

The spelling of 105284929 in words is "one hundred five million, two hundred eighty-four thousand, nine hundred twenty-nine".