102770666180 has 288 divisors, whose sum is σ = 278881682688. Its totient is φ = 30970874880.

The previous prime is 102770666177. The next prime is 102770666183. The reversal of 102770666180 is 81666077201.

102770666180 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (102770666177) and next prime (102770666183).

It is not an unprimeable number, because it can be changed into a prime (102770666183) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 117183902 + ... + 117184778.

It is an arithmetic number, because the mean of its divisors is an integer number (968339176).

Almost surely, 2^102770666180 is an apocalyptic number.

102770666180 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102770666180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139440841344).

102770666180 is an abundant number, since it is smaller than the sum of its proper divisors (176111016508).

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

102770666180 is a wasteful number, since it uses less digits than its factorization.

102770666180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1035 (or 1002 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 44.

The spelling of 102770666180 in words is "one hundred two billion, seven hundred seventy million, six hundred sixty-six thousand, one hundred eighty".