107948464096005 has 96 divisors (see below), whose sum is σ = 218052421606656. Its totient is φ = 50833256500224.

The previous prime is 107948464095961. The next prime is 107948464096009. The reversal of 107948464096005 is 500690464849701.

107948464096005 is a `hidden beast` number, since 1 + 0 + 7 + 9 + 484 + 64 + 0 + 96 + 0 + 0 + 5 = 666.

It is not a de Polignac number, because 107948464096005 - 2¹¹ = 107948464093957 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107948464096009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 148209412 + ... + 148935981.

It is an arithmetic number, because the mean of its divisors is an integer number (2271379391736).

Almost surely, 2^{107948464096005} is an apocalyptic number.

107948464096005 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

107948464096005 is an abundant number, since it is smaller than the sum of its proper divisors (110103957510651).

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

107948464096005 is a wasteful number, since it uses less digits than its factorization.

107948464096005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297145449 (or 297145437 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 63.

The spelling of 107948464096005 in words is "one hundred seven trillion, nine hundred forty-eight billion, four hundred sixty-four million, ninety-six thousand, five".