106177998529 has 2 divisors, whose sum is σ = 106177998530. Its totient is φ = 106177998528.

The previous prime is 106177998499. The next prime is 106177998559. The reversal of 106177998529 is 925899771601.

It is a balanced prime because it is at equal distance from previous prime (106177998499) and next prime (106177998559).

It can be written as a sum of positive squares in only one way, i.e., 102430722304 + 3747276225 = 320048^2 + 61215^2 .

It is a cyclic number.

It is not a de Polignac number, because 106177998529 - 2⁷ = 106177998401 is a prime.

It is a super-2 number, since 2×106177998529² (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (106177998559) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53088999264 + 53088999265.

It is an arithmetic number, because the mean of its divisors is an integer number (53088999265).

Almost surely, 2^106177998529 is an apocalyptic number.

It is an amenable number.

106177998529 is a deficient number, since it is larger than the sum of its proper divisors (1).

106177998529 is an equidigital number, since it uses as much as digits as its factorization.

106177998529 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 17146080, while the sum is 64.

The spelling of 106177998529 in words is "one hundred six billion, one hundred seventy-seven million, nine hundred ninety-eight thousand, five hundred twenty-nine".