105013030 has 32 divisors (see below), whose sum is σ = 194868864. Its totient is φ = 40715136.

The previous prime is 105012991. The next prime is 105013039. The reversal of 105013030 is 30310501.

It is a super-2 number, since 2×105013030² = 22055472939561800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105013030.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105013039) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 171004 + ... + 171616.

It is an arithmetic number, because the mean of its divisors is an integer number (6089652).

Almost surely, 2^105013030 is an apocalyptic number.

105013030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105013030 is a deficient number, since it is larger than the sum of its proper divisors (89855834).

105013030 is a wasteful number, since it uses less digits than its factorization.

105013030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1120.

The product of its (nonzero) digits is 45, while the sum is 13.

The square root of 105013030 is about 10247.5865451334. The cubic root of 105013030 is about 471.7889120031.

Adding to 105013030 its reverse (30310501), we get a palindrome (135323531).

It can be divided in two parts, 10501 and 3030, that added together give a palindrome (13531).

The spelling of 105013030 in words is "one hundred five million, thirteen thousand, thirty".