102677027112 has 192 divisors, whose sum is σ = 315587932800. Its totient is φ = 30907008000.

The previous prime is 102677027107. The next prime is 102677027209. The reversal of 102677027112 is 211720776201.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3933528 + ... + 3959544.

It is an arithmetic number, because the mean of its divisors is an integer number (1643687150).

Almost surely, 2^102677027112 is an apocalyptic number.

102677027112 is a gapful number since it is divisible by the number (12) 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 102677027112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157793966400).

102677027112 is an abundant number, since it is smaller than the sum of its proper divisors (212910905688).

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

102677027112 is a wasteful number, since it uses less digits than its factorization.

102677027112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26205 (or 26184 counting only the distinct ones).

The product of its (nonzero) digits is 16464, while the sum is 36.

The spelling of 102677027112 in words is "one hundred two billion, six hundred seventy-seven million, twenty-seven thousand, one hundred twelve".