106580617365 has 16 divisors (see below), whose sum is σ = 170534181888. Its totient is φ = 56841264576.

The previous prime is 106580617357. The next prime is 106580617379. The reversal of 106580617365 is 563716085601.

It is not a de Polignac number, because 106580617365 - 2³ = 106580617357 is a prime.

It is a super-2 number, since 2×106580617365² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 517324 + ... + 693386.

It is an arithmetic number, because the mean of its divisors is an integer number (10658386368).

Almost surely, 2^106580617365 is an apocalyptic number.

106580617365 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

106580617365 is a deficient number, since it is larger than the sum of its proper divisors (63953564523).

106580617365 is a wasteful number, since it uses less digits than its factorization.

106580617365 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216428.

The product of its (nonzero) digits is 907200, while the sum is 48.

The spelling of 106580617365 in words is "one hundred six billion, five hundred eighty million, six hundred seventeen thousand, three hundred sixty-five".