107948464097500 has 240 divisors, whose sum is σ = 265388779656000. Its totient is φ = 38108353536000.

The previous prime is 107948464097489. The next prime is 107948464097503. The reversal of 107948464097500 is 5790464849701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107948464097503) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1785747276 + ... + 1785807724.

It is an arithmetic number, because the mean of its divisors is an integer number (1105786581900).

Almost surely, 2^{107948464097500} is an apocalyptic number.

107948464097500 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 107948464097500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132694389828000).

107948464097500 is an abundant number, since it is smaller than the sum of its proper divisors (157440315558500).

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

107948464097500 is a wasteful number, since it uses less digits than its factorization.

107948464097500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62898 (or 62881 counting only the distinct ones).

The product of its (nonzero) digits is 60963840, while the sum is 64.

The spelling of 107948464097500 in words is "one hundred seven trillion, nine hundred forty-eight billion, four hundred sixty-four million, ninety-seven thousand, five hundred".