106615516579441 has 27 divisors (see below), whose sum is σ = 113495425466241. Its totient is φ = 100146573009504.

The previous prime is 106615516579427. The next prime is 106615516579459. The reversal of 106615516579441 is 144975615516601.

The square root of 106615516579441 is 10325479.

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 22689836658225 + 83925679921216 = 4763385^2 + 9161096^2 .

It is not a de Polignac number, because 106615516579441 - 2¹⁷ = 106615516448369 is a prime.

It is a super-2 number, since 2×106615516579441² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 106615516579441.

It is not an unprimeable number, because it can be changed into a prime (106615516579541) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 11079234156 + ... + 11079243778.

Almost surely, 2^{106615516579441} is an apocalyptic number.

106615516579441 is the 10325479-th square number.

106615516579441 is the 5162740-th centered octagonal number.

It is an amenable number.

106615516579441 is a deficient number, since it is larger than the sum of its proper divisors (6879908886800).

106615516579441 is an frugal number, since it uses more digits than its factorization.

106615516579441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19378 (or 9689 counting only the distinct ones).

The product of its (nonzero) digits is 27216000, while the sum is 61.

The spelling of 106615516579441 in words is "one hundred six trillion, six hundred fifteen billion, five hundred sixteen million, five hundred seventy-nine thousand, four hundred forty-one".