107028849 has 16 divisors (see below), whose sum is σ = 146361600. Its totient is φ = 69532176.

The previous prime is 107028847. The next prime is 107028853. The reversal of 107028849 is 948820701.

It is not a de Polignac number, because 107028849 - 2¹ = 107028847 is a prime.

It is a super-3 number, since 3×107028849³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (107028847) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 84382 + ... + 85640.

It is an arithmetic number, because the mean of its divisors is an integer number (9147600).

Almost surely, 2^107028849 is an apocalyptic number.

It is an amenable number.

107028849 is a deficient number, since it is larger than the sum of its proper divisors (39332751).

107028849 is a wasteful number, since it uses less digits than its factorization.

107028849 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1964.

The product of its (nonzero) digits is 32256, while the sum is 39.

The square root of 107028849 is about 10345.4748078568. The cubic root of 107028849 is about 474.7886025156.

The spelling of 107028849 in words is "one hundred seven million, twenty-eight thousand, eight hundred forty-nine".