105300039 has 16 divisors (see below), whose sum is σ = 155288672. Its totient is φ = 63047808.

The previous prime is 105300017. The next prime is 105300043. The reversal of 105300039 is 930003501.

It is not a de Polignac number, because 105300039 - 2¹⁵ = 105267271 is a prime.

It is a super-2 number, since 2×105300039² = 22176196426803042, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 105299988 and 105300024.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105300059) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35044 + ... + 37929.

It is an arithmetic number, because the mean of its divisors is an integer number (9705542).

Almost surely, 2^105300039 is an apocalyptic number.

105300039 is a deficient number, since it is larger than the sum of its proper divisors (49988633).

105300039 is a wasteful number, since it uses less digits than its factorization.

105300039 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73026.

The product of its (nonzero) digits is 405, while the sum is 21.

The square root of 105300039 is about 10261.5807261844. The cubic root of 105300039 is about 472.2183332880.

The spelling of 105300039 in words is "one hundred five million, three hundred thousand, thirty-nine".