105039004 has 48 divisors (see below), whose sum is σ = 219941568. Its totient is φ = 42951168.

The previous prime is 105038959. The next prime is 105039013. The reversal of 105039004 is 400930501.

It is a super-2 number, since 2×105039004² = 22066384722624032, which 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 (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53952 + ... + 55864.

It is an arithmetic number, because the mean of its divisors is an integer number (4582116).

Almost surely, 2^105039004 is an apocalyptic number.

105039004 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105039004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109970784).

105039004 is an abundant number, since it is smaller than the sum of its proper divisors (114902564).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

105039004 is a wasteful number, since it uses less digits than its factorization.

105039004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2014 (or 2012 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 22.

The square root of 105039004 is about 10248.8537895708. The cubic root of 105039004 is about 471.8278063352.

Adding to 105039004 its reverse (400930501), we get a palindrome (505969505).

The spelling of 105039004 in words is "one hundred five million, thirty-nine thousand, four".