107842538496 has 704 divisors, whose sum is σ = 377303040000. Its totient is φ = 26568622080.

The previous prime is 107842538477. The next prime is 107842538537. The reversal of 107842538496 is 694835248701.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (704).

It is a super-3 number, since 3×107842538496³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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, 541922205 + ... + 541922403.

It is a 1-persistent number, because it is pandigital, but 2⋅107842538496 = 215685076992 is not.

Almost surely, 2^107842538496 is an apocalyptic number.

107842538496 is a gapful number since it is divisible by the number (16) 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 107842538496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188651520000).

107842538496 is an abundant number, since it is smaller than the sum of its proper divisors (269460501504).

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

107842538496 is a wasteful number, since it uses less digits than its factorization.

107842538496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348 (or 330 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 57.

The spelling of 107842538496 in words is "one hundred seven billion, eight hundred forty-two million, five hundred thirty-eight thousand, four hundred ninety-six".