107242064640 has 432 divisors, whose sum is σ = 393354309600. Its totient is φ = 27666800640.

The previous prime is 107242064621. The next prime is 107242064653. The reversal of 107242064640 is 46460242701.

107242064640 is a `hidden beast` number, since 1 + 0 + 7 + 2 + 4 + 2 + 0 + 6 + 4 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

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

It is a junction number, because it is equal to n+sod(n) for n = 107242064595 and 107242064604.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 33210546 + ... + 33213774.

Almost surely, 2^107242064640 is an apocalyptic number.

107242064640 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 107242064640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196677154800).

107242064640 is an abundant number, since it is smaller than the sum of its proper divisors (286112244960).

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

107242064640 is an equidigital number, since it uses as much as digits as its factorization.

107242064640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3321 (or 3270 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The spelling of 107242064640 in words is "one hundred seven billion, two hundred forty-two million, sixty-four thousand, six hundred forty".