106104000 has 112 divisors (see below), whose sum is σ = 350434656. Its totient is φ = 28288000.

The previous prime is 106103993. The next prime is 106104013. The reversal of 106104000 is 401601.

It is a super-2 number, since 2×106104000² = 22516117632000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21790 + ... + 26210.

Almost surely, 2^106104000 is an apocalyptic number.

106104000 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 106104000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175217328).

106104000 is an abundant number, since it is smaller than the sum of its proper divisors (244330656).

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

106104000 is an equidigital number, since it uses as much as digits as its factorization.

106104000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4451 (or 4431 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 106104000 is about 10300.6795892310. The cubic root of 106104000 is about 473.4170761484.

Adding to 106104000 its reverse (401601), we get a palindrome (106505601).

The spelling of 106104000 in words is "one hundred six million, one hundred four thousand".