105252436266121 has 9 divisors (see below), whose sum is σ = 105839021449749. Its totient is φ = 104669084426400.

The previous prime is 105252436266031. The next prime is 105252436266157. The reversal of 105252436266121 is 121662634252501.

The square root of 105252436266121 is 10259261.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 41537238713721 + 63715197552400 = 6444939^2 + 7982180^2 .

It is not a de Polignac number, because 105252436266121 - 2¹³ = 105252436257929 is a prime.

It is a super-2 number, since 2×105252436266121² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105252436246121) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1856897901 + ... + 1856954581.

Almost surely, 2^{105252436266121} is an apocalyptic number.

105252436266121 is the 10259261-st square number.

105252436266121 is the 5129631-st centered octagonal number.

It is an amenable number.

105252436266121 is a deficient number, since it is larger than the sum of its proper divisors (586585183628).

105252436266121 is an frugal number, since it uses more digits than its factorization.

105252436266121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113724 (or 56862 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 46.

The spelling of 105252436266121 in words is "one hundred five trillion, two hundred fifty-two billion, four hundred thirty-six million, two hundred sixty-six thousand, one hundred twenty-one".