107893197841 has 27 divisors (see below), whose sum is σ = 128473581873. Its totient is φ = 90500329920.

The previous prime is 107893197827. The next prime is 107893197857. The reversal of 107893197841 is 148791398701.

The square root of 107893197841 is 328471.

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

It can be written as a sum of positive squares in 4 ways, for example, as 17977178241 + 89916019600 = 134079^2 + 299860^2 .

It is not a de Polignac number, because 107893197841 - 2¹¹ = 107893195793 is a prime.

It is a super-2 number, since 2×107893197841² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (107893197241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 46970205 + ... + 46972501.

Almost surely, 2^107893197841 is an apocalyptic number.

107893197841 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

107893197841 is the 328471-st square number.

107893197841 is the 164236-th centered octagonal number.

It is an amenable number.

107893197841 is a deficient number, since it is larger than the sum of its proper divisors (20580384032).

107893197841 is an frugal number, since it uses more digits than its factorization.

107893197841 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4642 (or 2321 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 58.

The spelling of 107893197841 in words is "one hundred seven billion, eight hundred ninety-three million, one hundred ninety-seven thousand, eight hundred forty-one".