104125000 has 168 divisors, whose sum is σ = 300582090. Its totient is φ = 33600000.

The previous prime is 104124989. The next prime is 104125003. The reversal of 104125000 is 521401.

It can be written as a sum of positive squares in 7 ways, for example, as 40220964 + 63904036 = 6342^2 + 7994^2 .

It is a nialpdrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104125003) 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 41 ways as a sum of consecutive naturals, for example, 6124992 + ... + 6125008.

Almost surely, 2^104125000 is an apocalyptic number.

104125000 is a gapful number since it is divisible by the number (10) 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 104125000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150291045).

104125000 is an abundant number, since it is smaller than the sum of its proper divisors (196457090).

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

104125000 is an frugal number, since it uses more digits than its factorization.

104125000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67 (or 31 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 13.

The square root of 104125000 is about 10204.1658159793. The cubic root of 104125000 is about 470.4552703386.

Adding to 104125000 its reverse (521401), we get a palindrome (104646401).

The spelling of 104125000 in words is "one hundred four million, one hundred twenty-five thousand".