102776454144 has 1056 divisors, whose sum is σ = 388052246400. Its totient is φ = 26011238400.

The previous prime is 102776454139. The next prime is 102776454167. The reversal of 102776454144 is 441454677201.

102776454144 is a `hidden beast` number, since 1 + 0 + 2 + 7 + 7 + 64 + 541 + 44 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 102776454144.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 1684859874 + ... + 1684859934.

Almost surely, 2^102776454144 is an apocalyptic number.

102776454144 is a gapful number since it is divisible by the number (14) 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 102776454144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194026123200).

102776454144 is an abundant number, since it is smaller than the sum of its proper divisors (285275792256).

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

102776454144 is a wasteful number, since it uses less digits than its factorization.

102776454144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 45.

The spelling of 102776454144 in words is "one hundred two billion, seven hundred seventy-six million, four hundred fifty-four thousand, one hundred forty-four".