106538918409 has 189 divisors, whose sum is σ = 205551620631. Its totient is φ = 54992377440.

The previous prime is 106538918407. The next prime is 106538918449. The reversal of 106538918409 is 904819835601.

The square root of 106538918409 is 326403.

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

106538918409 is a `hidden beast` number, since 10 + 6 + 538 + 91 + 8 + 4 + 0 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 31228191225 + 75310727184 = 176715^2 + 274428^2 .

It is a tau number, because it is divible by the number of its divisors (189).

It is not a de Polignac number, because 106538918409 - 2¹ = 106538918407 is a prime.

It is a super-2 number, since 2×106538918409² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106538918407) 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 188 ways as a sum of consecutive naturals, for example, 678591759 + ... + 678591915.

Almost surely, 2^106538918409 is an apocalyptic number.

106538918409 is the 326403-rd square number.

106538918409 is the 163202-nd centered octagonal number.

It is an amenable number.

106538918409 is a deficient number, since it is larger than the sum of its proper divisors (99012702222).

106538918409 is an frugal number, since it uses more digits than its factorization.

106538918409 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 368 (or 178 counting only the distinct ones).

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

The spelling of 106538918409 in words is "one hundred six billion, five hundred thirty-eight million, nine hundred eighteen thousand, four hundred nine".