77210216106 has 16 divisors (see below), whose sum is σ = 163503987264. Its totient is φ = 24222812864.

The previous prime is 77210216101. The next prime is 77210216113. The reversal of 77210216106 is 60161201277.

It is a super-3 number, since 3×77210216106³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (77210216101) 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 in 7 ways as a sum of consecutive naturals, for example, 378481350 + ... + 378481553.

It is an arithmetic number, because the mean of its divisors is an integer number (10218999204).

Almost surely, 2^77210216106 is an apocalyptic number.

77210216106 is an abundant number, since it is smaller than the sum of its proper divisors (86293771158).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

77210216106 is a wasteful number, since it uses less digits than its factorization.

77210216106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 756962925.

The product of its (nonzero) digits is 7056, while the sum is 33.

The spelling of 77210216106 in words is "seventy-seven billion, two hundred ten million, two hundred sixteen thousand, one hundred six".