105380116958 has 32 divisors (see below), whose sum is σ = 161842635360. Its totient is φ = 51449126400.

The previous prime is 105380116937. The next prime is 105380116969. The reversal of 105380116958 is 859611083501.

It is a super-2 number, since 2×105380116958² (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 15 ways as a sum of consecutive naturals, for example, 7573808 + ... + 7587708.

It is an arithmetic number, because the mean of its divisors is an integer number (5057582355).

Almost surely, 2^105380116958 is an apocalyptic number.

105380116958 is a deficient number, since it is larger than the sum of its proper divisors (56462518402).

105380116958 is a wasteful number, since it uses less digits than its factorization.

105380116958 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14492.

The product of its (nonzero) digits is 259200, while the sum is 47.

The spelling of 105380116958 in words is "one hundred five billion, three hundred eighty million, one hundred sixteen thousand, nine hundred fifty-eight".