105240501359 has 16 divisors (see below), whose sum is σ = 127359925056. Its totient is φ = 84893184000.

The previous prime is 105240501337. The next prime is 105240501367. The reversal of 105240501359 is 953105042501.

It is a cyclic number.

It is not a de Polignac number, because 105240501359 - 2²⁸ = 104972065903 is a prime.

It is a super-2 number, since 2×105240501359² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105240501389) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1944059 + ... + 1997459.

It is an arithmetic number, because the mean of its divisors is an integer number (7959995316).

Almost surely, 2^105240501359 is an apocalyptic number.

105240501359 is a deficient number, since it is larger than the sum of its proper divisors (22119423697).

105240501359 is a wasteful number, since it uses less digits than its factorization.

105240501359 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69986.

The product of its (nonzero) digits is 27000, while the sum is 35.

The spelling of 105240501359 in words is "one hundred five billion, two hundred forty million, five hundred one thousand, three hundred fifty-nine".