105124340342 has 128 divisors (see below), whose sum is σ = 203761474560. Its totient is φ = 39594147840.

The previous prime is 105124340333. The next prime is 105124340351. The reversal of 105124340342 is 243043421501.

It is an interprime number because it is at equal distance from previous prime (105124340333) and next prime (105124340351).

It is a super-2 number, since 2×105124340342² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 194314592 + ... + 194315132.

It is an arithmetic number, because the mean of its divisors is an integer number (1591886520).

Almost surely, 2^105124340342 is an apocalyptic number.

105124340342 is a deficient number, since it is larger than the sum of its proper divisors (98637134218).

105124340342 is a wasteful number, since it uses less digits than its factorization.

105124340342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1126.

The product of its (nonzero) digits is 11520, while the sum is 29.

Adding to 105124340342 its reverse (243043421501), we get a palindrome (348167761843).

The spelling of 105124340342 in words is "one hundred five billion, one hundred twenty-four million, three hundred forty thousand, three hundred forty-two".