107648000 has 132 divisors (see below), whose sum is σ = 278138172. Its totient is φ = 41574400.

The previous prime is 107647993. The next prime is 107648011. The reversal of 107648000 is 846701.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 6 ways, for example, as 32444416 + 75203584 = 5696^2 + 8672^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3711986 + ... + 3712014.

Almost surely, 2^107648000 is an apocalyptic number.

107648000 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 107648000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139069086).

107648000 is an abundant number, since it is smaller than the sum of its proper divisors (170490172).

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

107648000 is an frugal number, since it uses more digits than its factorization.

107648000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 26.

The square root of 107648000 is about 10375.3554155990. The cubic root of 107648000 is about 475.7023773262.

The spelling of 107648000 in words is "one hundred seven million, six hundred forty-eight thousand".