106577367524405 has 8 divisors (see below), whose sum is σ = 127892969338200. Its totient is φ = 85261808480256.

The previous prime is 106577367524377. The next prime is 106577367524423. The reversal of 106577367524405 is 504425763775601.

It can be written as a sum of positive squares in 4 ways, for example, as 11869416820804 + 94707950703601 = 3445202^2 + 9731801^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 106577367524405 - 2⁸ = 106577367524149 is a prime.

It is a super-2 number, since 2×106577367524405² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4927700 + ... + 15408989.

It is an arithmetic number, because the mean of its divisors is an integer number (15986621167275).

Almost surely, 2^{106577367524405} is an apocalyptic number.

It is an amenable number.

106577367524405 is a deficient number, since it is larger than the sum of its proper divisors (21315601813795).

106577367524405 is a wasteful number, since it uses less digits than its factorization.

106577367524405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21384823.

The product of its (nonzero) digits is 148176000, while the sum is 62.

The spelling of 106577367524405 in words is "one hundred six trillion, five hundred seventy-seven billion, three hundred sixty-seven million, five hundred twenty-four thousand, four hundred five".