107104000 has 72 divisors (see below), whose sum is σ = 266889168. Its totient is φ = 42828800.

The previous prime is 107103991. The next prime is 107104021. The reversal of 107104000 is 401701.

It is a super-2 number, since 2×107104000² = 22942533632000000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30327 + ... + 33673.

It is an arithmetic number, because the mean of its divisors is an integer number (3706794).

Almost surely, 2^107104000 is an apocalyptic number.

107104000 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 107104000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133444584).

107104000 is an abundant number, since it is smaller than the sum of its proper divisors (159785168).

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

107104000 is an frugal number, since it uses more digits than its factorization.

107104000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3378 (or 3354 counting only the distinct ones).

The product of its (nonzero) digits is 28, while the sum is 13.

The square root of 107104000 is about 10349.1062416037. The cubic root of 107104000 is about 474.8997018148.

Adding to 107104000 its reverse (401701), we get a palindrome (107505701).

The spelling of 107104000 in words is "one hundred seven million, one hundred four thousand".