105800001058 has 24 divisors (see below), whose sum is σ = 175658855148. Its totient is φ = 47623521792.

The previous prime is 105800001053. The next prime is 105800001113. The reversal of 105800001058 is 850100008501.

It can be written as a sum of positive squares in 2 ways, for example, as 96824901889 + 8975099169 = 311167^2 + 94737^2 .

It is a super-2 number, since 2×105800001058² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105800001053) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2923191 + ... + 2959162.

Almost surely, 2^105800001058 is an apocalyptic number.

105800001058 is a deficient number, since it is larger than the sum of its proper divisors (69858854090).

105800001058 is a wasteful number, since it uses less digits than its factorization.

105800001058 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5882418 (or 5882395 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 28.

Adding to 105800001058 its reverse (850100008501), we get a palindrome (955900009559).

It can be divided in two parts, 10580000 and 1058, that multiplied together give a square (11193640000 = 105800²).

The spelling of 105800001058 in words is "one hundred five billion, eight hundred million, one thousand, fifty-eight".