109858439601 has 81 divisors (see below), whose sum is σ = 172903685409. Its totient is φ = 67201947648.

The previous prime is 109858439599. The next prime is 109858439611. The reversal of 109858439601 is 106934858901.

The square root of 109858439601 is 331449.

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

109858439601 is a `hidden beast` number, since 10 + 98 + 58 + 439 + 60 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 6431879601 + 103426560000 = 80199^2 + 321600^2 .

It is not a de Polignac number, because 109858439601 - 2¹ = 109858439599 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (109858439611) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1132561185 + ... + 1132561281.

Almost surely, 2^109858439601 is an apocalyptic number.

109858439601 is the 331449-th square number.

109858439601 is the 165725-th centered octagonal number.

It is an amenable number.

109858439601 is a deficient number, since it is larger than the sum of its proper divisors (63045245808).

109858439601 is an frugal number, since it uses more digits than its factorization.

109858439601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 368 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 54.

The spelling of 109858439601 in words is "one hundred nine billion, eight hundred fifty-eight million, four hundred thirty-nine thousand, six hundred one".