106549575582591 has 16 divisors (see below), whose sum is σ = 157851386817120. Its totient is φ = 71032976709120.

The previous prime is 106549575582587. The next prime is 106549575582599. The reversal of 106549575582591 is 195285575945601.

106549575582591 is a `hidden beast` number, since 1 + 0 + 6 + 5 + 49 + 5 + 7 + 558 + 25 + 9 + 1 = 666.

It is not a de Polignac number, because 106549575582591 - 2² = 106549575582587 is a prime.

It is a super-2 number, since 2×106549575582591² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106549575582599) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40694431 + ... + 43233503.

It is an arithmetic number, because the mean of its divisors is an integer number (9865711676070).

Almost surely, 2^{106549575582591} is an apocalyptic number.

106549575582591 is a deficient number, since it is larger than the sum of its proper divisors (51301811234529).

106549575582591 is a wasteful number, since it uses less digits than its factorization.

106549575582591 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4093303 (or 4093297 counting only the distinct ones).

The product of its (nonzero) digits is 680400000, while the sum is 72.

The spelling of 106549575582591 in words is "one hundred six trillion, five hundred forty-nine billion, five hundred seventy-five million, five hundred eighty-two thousand, five hundred ninety-one".