105257242335 has 32 divisors (see below), whose sum is σ = 196946449920. Its totient is φ = 46998580608.

The previous prime is 105257242327. The next prime is 105257242351. The reversal of 105257242335 is 533242752501.

It is not a de Polignac number, because 105257242335 - 2³ = 105257242327 is a prime.

It is a super-2 number, since 2×105257242335² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105257242293 and 105257242302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11651880 + ... + 11660909.

It is an arithmetic number, because the mean of its divisors is an integer number (6154576560).

Almost surely, 2^105257242335 is an apocalyptic number.

105257242335 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

105257242335 is a deficient number, since it is larger than the sum of its proper divisors (91689207585).

105257242335 is a wasteful number, since it uses less digits than its factorization.

105257242335 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23312847.

The product of its (nonzero) digits is 252000, while the sum is 39.

Adding to 105257242335 its reverse (533242752501), we get a palindrome (638499994836).

The spelling of 105257242335 in words is "one hundred five billion, two hundred fifty-seven million, two hundred forty-two thousand, three hundred thirty-five".