107307648 has 144 divisors (see below), whose sum is σ = 359392410. Its totient is φ = 30643200.

The previous prime is 107307643. The next prime is 107307653. The reversal of 107307648 is 846703701.

107307648 is a `hidden beast` number, since 1 + 0 + 7 + 3 + 0 + 7 + 648 = 666.

It is an interprime number because it is at equal distance from previous prime (107307643) and next prime (107307653).

It can be written as a sum of positive squares in only one way, i.e., 105021504 + 2286144 = 10248^2 + 1512^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (107307643) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 55498 + ... + 57398.

Almost surely, 2^107307648 is an apocalyptic number.

107307648 is a gapful number since it is divisible by the number (18) 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 107307648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179696205).

107307648 is an abundant number, since it is smaller than the sum of its proper divisors (252084762).

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

107307648 is a wasteful number, since it uses less digits than its factorization.

107307648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1935 (or 1913 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 107307648 is about 10358.9404863625. The cubic root of 107307648 is about 475.2005033495.

The spelling of 107307648 in words is "one hundred seven million, three hundred seven thousand, six hundred forty-eight".