107435754074884 has 81 divisors (see below), whose sum is σ = 196041149560893. Its totient is φ = 51515817233664.

The previous prime is 107435754074881. The next prime is 107435754074893. The reversal of 107435754074884 is 488470457534701.

The square root of 107435754074884 is 10365122.

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

It can be written as a sum of positive squares in 13 ways, for example, as 10473132833284 + 96962621241600 = 3236222^2 + 9846960^2 .

It is a super-2 number, since 2×107435754074884² (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 (107435754074881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 104003633632 + ... + 104003634664.

Almost surely, 2^{107435754074884} is an apocalyptic number.

107435754074884 is the 10365122-nd square number.

It is an amenable number.

107435754074884 is a deficient number, since it is larger than the sum of its proper divisors (88605395486009).

107435754074884 is an frugal number, since it uses more digits than its factorization.

107435754074884 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2474 (or 1237 counting only the distinct ones).

The product of its (nonzero) digits is 421478400, while the sum is 67.

The spelling of 107435754074884 in words is "one hundred seven trillion, four hundred thirty-five billion, seven hundred fifty-four million, seventy-four thousand, eight hundred eighty-four".