105004412000 has 96 divisors (see below), whose sum is σ = 271574765280. Its totient is φ = 39791116800.

The previous prime is 105004411999. The next prime is 105004412011. The reversal of 105004412000 is 214400501.

It is a super-2 number, since 2×105004412000² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105004412000.

It is a congruent number.

It is an unprimeable number.

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, 614819 + ... + 766818.

It is an arithmetic number, because the mean of its divisors is an integer number (2828903805).

Almost surely, 2^105004412000 is an apocalyptic number.

105004412000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105004412000 is an abundant number, since it is smaller than the sum of its proper divisors (166570353280).

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

105004412000 is a wasteful number, since it uses less digits than its factorization.

105004412000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1381681 (or 1381663 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 17.

Adding to 105004412000 its reverse (214400501), we get a palindrome (105218812501).

The spelling of 105004412000 in words is "one hundred five billion, four million, four hundred twelve thousand".