107648432325 has 288 divisors, whose sum is σ = 247923179520. Its totient is φ = 44804275200.

The previous prime is 107648432323. The next prime is 107648432399. The reversal of 107648432325 is 523234846701.

107648432325 is a `hidden beast` number, since 107 + 6 + 484 + 32 + 32 + 5 = 666.

It is not a de Polignac number, because 107648432325 - 2¹ = 107648432323 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107648432323) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 42330004 + ... + 42332546.

Almost surely, 2^107648432325 is an apocalyptic number.

107648432325 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

107648432325 is an abundant number, since it is smaller than the sum of its proper divisors (140274747195).

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

107648432325 is a wasteful number, since it uses less digits than its factorization.

107648432325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2634 (or 2606 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

It can be divided in two parts, 1076484 and 32325, that added together give a square (1108809 = 1053²).

The spelling of 107648432325 in words is "one hundred seven billion, six hundred forty-eight million, four hundred thirty-two thousand, three hundred twenty-five".