107884000849 has 15 divisors (see below), whose sum is σ = 115433879147. Its totient is φ = 100807394784.

The previous prime is 107884000843. The next prime is 107884000897. The reversal of 107884000849 is 948000488701.

The square root of 107884000849 is 328457.

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., 83992734225 + 23891266624 = 289815^2 + 154568^2 .

It is not a de Polignac number, because 107884000849 - 2³ = 107884000841 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (107884000841) 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, 776143822 + ... + 776143960.

Almost surely, 2^107884000849 is an apocalyptic number.

107884000849 is the 328457-th square number.

107884000849 is the 164229-th centered octagonal number.

It is an amenable number.

107884000849 is a deficient number, since it is larger than the sum of its proper divisors (7549878298).

107884000849 is an frugal number, since it uses more digits than its factorization.

107884000849 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 590 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 49.

Multiplying 107884000849 by its sum of digits (49), we get a square (5286316041601 = 2299199²).

The spelling of 107884000849 in words is "one hundred seven billion, eight hundred eighty-four million, eight hundred forty-nine", and thus it is an aban number.