105004000 has 48 divisors (see below), whose sum is σ = 258004656. Its totient is φ = 42000000.

The previous prime is 105003991. The next prime is 105004001. The reversal of 105004000 is 400501.

It is a super-2 number, since 2×105004000² = 22051680032000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105004001) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9126 + ... + 17125.

It is an arithmetic number, because the mean of its divisors is an integer number (5375097).

Almost surely, 2^105004000 is an apocalyptic number.

105004000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105004000 is an abundant number, since it is smaller than the sum of its proper divisors (153000656).

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

105004000 is an equidigital number, since it uses as much as digits as its factorization.

105004000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26276 (or 26258 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 10.

The square root of 105004000 is about 10247.1459441154. The cubic root of 105004000 is about 471.7753886781.

Adding to 105004000 its reverse (400501), we get a palindrome (105404501).

The spelling of 105004000 in words is "one hundred five million, four thousand".