105240501337 has 2 divisors, whose sum is σ = 105240501338. Its totient is φ = 105240501336.

The previous prime is 105240501323. The next prime is 105240501367. The reversal of 105240501337 is 733105042501.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 105228223321 + 12278016 = 324389^2 + 3504^2 .

It is a cyclic number.

It is not a de Polignac number, because 105240501337 - 2²⁷ = 105106283609 is a prime.

It is a super-2 number, since 2×105240501337² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105240501299 and 105240501308.

It is not a weakly prime, because it can be changed into another prime (105240501367) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52620250668 + 52620250669.

It is an arithmetic number, because the mean of its divisors is an integer number (52620250669).

Almost surely, 2^105240501337 is an apocalyptic number.

It is an amenable number.

105240501337 is a deficient number, since it is larger than the sum of its proper divisors (1).

105240501337 is an equidigital number, since it uses as much as digits as its factorization.

105240501337 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12600, while the sum is 31.

Adding to 105240501337 its reverse (733105042501), we get a palindrome (838345543838).

The spelling of 105240501337 in words is "one hundred five billion, two hundred forty million, five hundred one thousand, three hundred thirty-seven".