105121502009 has 2 divisors, whose sum is σ = 105121502010. Its totient is φ = 105121502008.

The previous prime is 105121501987. The next prime is 105121502069. The reversal of 105121502009 is 900205121501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 68507827600 + 36613674409 = 261740^2 + 191347^2 .

It is a cyclic number.

It is not a de Polignac number, because 105121502009 - 2¹² = 105121497913 is a prime.

It is a super-2 number, since 2×105121502009² (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105121502069) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52560751004 + 52560751005.

It is an arithmetic number, because the mean of its divisors is an integer number (52560751005).

Almost surely, 2^105121502009 is an apocalyptic number.

It is an amenable number.

105121502009 is a deficient number, since it is larger than the sum of its proper divisors (1).

105121502009 is an equidigital number, since it uses as much as digits as its factorization.

105121502009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 900, while the sum is 26.

The spelling of 105121502009 in words is "one hundred five billion, one hundred twenty-one million, five hundred two thousand, nine".