105305858242 has 32 divisors (see below), whose sum is σ = 172771522560. Its totient is φ = 47844229440.

The previous prime is 105305858227. The next prime is 105305858257. The reversal of 105305858242 is 242858503501.

It is an interprime number because it is at equal distance from previous prime (105305858227) and next prime (105305858257).

It is a super-2 number, since 2×105305858242² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1161759 + ... + 1249117.

It is an arithmetic number, because the mean of its divisors is an integer number (5399110080).

Almost surely, 2^105305858242 is an apocalyptic number.

105305858242 is a deficient number, since it is larger than the sum of its proper divisors (67465664318).

105305858242 is a wasteful number, since it uses less digits than its factorization.

105305858242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88098.

The product of its (nonzero) digits is 384000, while the sum is 43.

The spelling of 105305858242 in words is "one hundred five billion, three hundred five million, eight hundred fifty-eight thousand, two hundred forty-two".