106615557881361 has 81 divisors (see below), whose sum is σ = 159341711227569. Its totient is φ = 68693359996800.

The previous prime is 106615557881359. The next prime is 106615557881363. The reversal of 106615557881361 is 163188755516601.

The square root of 106615557881361 is 10325481.

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

106615557881361 is a `hidden beast` number, since 1 + 0 + 6 + 6 + 1 + 5 + 557 + 8 + 8 + 13 + 61 = 666.

It is an interprime number because it is at equal distance from previous prime (106615557881359) and next prime (106615557881363).

It can be written as a sum of positive squares in 4 ways, for example, as 6514332277761 + 100101225603600 = 2552319^2 + 10005060^2 .

It is not a de Polignac number, because 106615557881361 - 2¹ = 106615557881359 is a prime.

It is a super-2 number, since 2×106615557881361² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106615557881363) 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, 161294338371 + ... + 161294339031.

Almost surely, 2^{106615557881361} is an apocalyptic number.

106615557881361 is the 10325481-st square number.

106615557881361 is the 5162741-st centered octagonal number.

It is an amenable number.

106615557881361 is a deficient number, since it is larger than the sum of its proper divisors (52726153346208).

106615557881361 is an frugal number, since it uses more digits than its factorization.

106615557881361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1664 (or 832 counting only the distinct ones).

The product of its (nonzero) digits is 36288000, while the sum is 63.

The spelling of 106615557881361 in words is "one hundred six trillion, six hundred fifteen billion, five hundred fifty-seven million, eight hundred eighty-one thousand, three hundred sixty-one".