107916849049 has 9 divisors (see below), whose sum is σ = 111520857951. Its totient is φ = 104425805160.

The previous prime is 107916849017. The next prime is 107916849077. The reversal of 107916849049 is 940948619701.

The square root of 107916849049 is 328507.

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., 3414649225 + 104502199824 = 58435^2 + 323268^2 .

It is not a de Polignac number, because 107916849049 - 2⁵ = 107916849017 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 107916848984 and 107916849002.

It is not an unprimeable number, because it can be changed into a prime (107916849149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 10178419 + ... + 10189015.

It is an arithmetic number, because the mean of its divisors is an integer number (12391206439).

Almost surely, 2^107916849049 is an apocalyptic number.

107916849049 is the 328507-th square number.

107916849049 is the 164254-th centered octagonal number.

It is an amenable number.

107916849049 is a deficient number, since it is larger than the sum of its proper divisors (3604008902).

107916849049 is an frugal number, since it uses more digits than its factorization.

107916849049 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21256 (or 10628 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 58.

The spelling of 107916849049 in words is "one hundred seven billion, nine hundred sixteen million, eight hundred forty-nine thousand, forty-nine".