106577367524371 has 2 divisors, whose sum is σ = 106577367524372. Its totient is φ = 106577367524370.

The previous prime is 106577367524351. The next prime is 106577367524377. The reversal of 106577367524371 is 173425763775601.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 106577367524371 - 2²¹ = 106577365427219 is a prime.

It is a super-2 number, since 2×106577367524371² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (106577367524377) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53288683762185 + 53288683762186.

It is an arithmetic number, because the mean of its divisors is an integer number (53288683762186).

Almost surely, 2^{106577367524371} is an apocalyptic number.

106577367524371 is a deficient number, since it is larger than the sum of its proper divisors (1).

106577367524371 is an equidigital number, since it uses as much as digits as its factorization.

106577367524371 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 155584800, while the sum is 64.

The spelling of 106577367524371 in words is "one hundred six trillion, five hundred seventy-seven billion, three hundred sixty-seven million, five hundred twenty-four thousand, three hundred seventy-one".