107185561478116 has 27 divisors (see below), whose sum is σ = 206177623528233. Its totient is φ = 48720606232320.

The previous prime is 107185561478087. The next prime is 107185561478167. The reversal of 107185561478116 is 611874165581701.

The square root of 107185561478116 is 10353046.

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

It can be written as a sum of positive squares in only one way, i.e., 65056323062500 + 42129238415616 = 8065750^2 + 6490704^2 .

It is a super-2 number, since 2×107185561478116² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 227531716 + ... + 228002308.

Almost surely, 2^{107185561478116} is an apocalyptic number.

107185561478116 is the 10353046-th square number.

It is an amenable number.

107185561478116 is a deficient number, since it is larger than the sum of its proper divisors (98992062050117).

107185561478116 is an frugal number, since it uses more digits than its factorization.

107185561478116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 941212 (or 470606 counting only the distinct ones).

The product of its (nonzero) digits is 11289600, while the sum is 61.

The spelling of 107185561478116 in words is "one hundred seven trillion, one hundred eighty-five billion, five hundred sixty-one million, four hundred seventy-eight thousand, one hundred sixteen".