107008000 has 208 divisors, whose sum is σ = 306671040. Its totient is φ = 36864000.

The previous prime is 107007973. The next prime is 107008003. The reversal of 107008000 is 800701.

It is a super-2 number, since 2×107008000² = 22901424128000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107008003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5631991 + ... + 5632009.

It is an arithmetic number, because the mean of its divisors is an integer number (1474380).

Almost surely, 2^107008000 is an apocalyptic number.

107008000 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 107008000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153335520).

107008000 is an abundant number, since it is smaller than the sum of its proper divisors (199663040).

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

107008000 is an equidigital number, since it uses as much as digits as its factorization.

107008000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69 (or 37 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 16.

The square root of 107008000 is about 10344.4671201566. The cubic root of 107008000 is about 474.7577712320.

Adding to 107008000 its reverse (800701), we get a palindrome (107808701).

The spelling of 107008000 in words is "one hundred seven million, eight thousand".