107923681367040 has 5632 divisors, whose sum is σ = 510500068392960. Its totient is φ = 18747909734400.

The previous prime is 107923681366909. The next prime is 107923681367069. The reversal of 107923681367040 is 40763186329701.

It is a tau number, because it is divible by the number of its divisors (5632).

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 623836308394 + ... + 623836308566.

Almost surely, 2^{107923681367040} is an apocalyptic number.

107923681367040 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 107923681367040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255250034196480).

107923681367040 is an abundant number, since it is smaller than the sum of its proper divisors (402576387025920).

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

107923681367040 is a wasteful number, since it uses less digits than its factorization.

107923681367040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 349 (or 331 counting only the distinct ones).

The product of its (nonzero) digits is 9144576, while the sum is 57.

The spelling of 107923681367040 in words is "one hundred seven trillion, nine hundred twenty-three billion, six hundred eighty-one million, three hundred sixty-seven thousand, forty".