107759929039504 has 75 divisors (see below), whose sum is σ = 243572445606723. Its totient is φ = 46181954748384.

The previous prime is 107759929039501. The next prime is 107759929039619. The reversal of 107759929039504 is 405930929957701.

The square root of 107759929039504 is 10380748.

It is a perfect power (a square), and thus also a powerful number.

It is a super-2 number, since 2×107759929039504² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (107759929039501) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 2034600127 + ... + 2034653089.

Almost surely, 2^{107759929039504} is an apocalyptic number.

107759929039504 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

107759929039504 is the 10380748-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 107759929039504

107759929039504 is an abundant number, since it is smaller than the sum of its proper divisors (135812516567219).

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

107759929039504 is an frugal number, since it uses more digits than its factorization.

107759929039504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105962 (or 52972 counting only the distinct ones).

The product of its (nonzero) digits is 192893400, while the sum is 70.

The spelling of 107759929039504 in words is "one hundred seven trillion, seven hundred fifty-nine billion, nine hundred twenty-nine million, thirty-nine thousand, five hundred four".