107338385459776 has 63 divisors (see below), whose sum is σ = 220602632123419. Its totient is φ = 51817370544128.

The previous prime is 107338385459729. The next prime is 107338385459779. The reversal of 107338385459776 is 677954583833701.

The square root of 107338385459776 is 10360424.

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

It can be written as a sum of positive squares in 4 ways, for example, as 202968270400 + 107135417189376 = 450520^2 + 10350624^2 .

It is a super-2 number, since 2×107338385459776² (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 (107338385459779) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2403596040 + ... + 2403640696.

Almost surely, 2^{107338385459776} is an apocalyptic number.

107338385459776 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

107338385459776 is the 10360424-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 107338385459776

107338385459776 is an abundant number, since it is smaller than the sum of its proper divisors (113264246663643).

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

107338385459776 is an frugal number, since it uses more digits than its factorization.

107338385459776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89384 (or 44688 counting only the distinct ones).

The product of its (nonzero) digits is 3200601600, while the sum is 76.

The spelling of 107338385459776 in words is "one hundred seven trillion, three hundred thirty-eight billion, three hundred eighty-five million, four hundred fifty-nine thousand, seven hundred seventy-six".