106932085201 has 2 divisors, whose sum is σ = 106932085202. Its totient is φ = 106932085200.

The previous prime is 106932085147. The next prime is 106932085243. The reversal of 106932085201 is 102580239601.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 94495374801 + 12436710400 = 307401^2 + 111520^2 .

It is a cyclic number.

It is not a de Polignac number, because 106932085201 - 2⁹ = 106932084689 is a prime.

It is a super-2 number, since 2×106932085201² (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (106932085501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53466042600 + 53466042601.

It is an arithmetic number, because the mean of its divisors is an integer number (53466042601).

Almost surely, 2^106932085201 is an apocalyptic number.

It is an amenable number.

106932085201 is a deficient number, since it is larger than the sum of its proper divisors (1).

106932085201 is an equidigital number, since it uses as much as digits as its factorization.

106932085201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 25920, while the sum is 37.

The spelling of 106932085201 in words is "one hundred six billion, nine hundred thirty-two million, eighty-five thousand, two hundred one".