107358901796640 has 384 divisors, whose sum is σ = 371986037563392. Its totient is φ = 25861558579200.

The previous prime is 107358901796639. The next prime is 107358901796719. The reversal of 107358901796640 is 46697109853701.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3596477715 + ... + 3596507565.

It is an arithmetic number, because the mean of its divisors is an integer number (968713639488).

Almost surely, 2^{107358901796640} is an apocalyptic number.

107358901796640 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 107358901796640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185993018781696).

107358901796640 is an abundant number, since it is smaller than the sum of its proper divisors (264627135766752).

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

107358901796640 is a wasteful number, since it uses less digits than its factorization.

107358901796640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42192 (or 42184 counting only the distinct ones).

The product of its (nonzero) digits is 68584320, while the sum is 66.

The spelling of 107358901796640 in words is "one hundred seven trillion, three hundred fifty-eight billion, nine hundred one million, seven hundred ninety-six thousand, six hundred forty".