1102655119104 has 972 divisors, whose sum is σ = 4144474538568. Its totient is φ = 280815575040.

The previous prime is 1102655119063. The next prime is 1102655119109. The reversal of 1102655119104 is 4019115562011.

It is a happy number.

1102655119104 is a `hidden beast` number, since 1 + 10 + 2 + 6 + 551 + 1 + 91 + 0 + 4 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1102655119109) 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 107 ways as a sum of consecutive naturals, for example, 724001287 + ... + 724002809.

It is an arithmetic number, because the mean of its divisors is an integer number (4263862694).

Almost surely, 2^{1102655119104} is an apocalyptic number.

1102655119104 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 1102655119104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2072237269284).

1102655119104 is an abundant number, since it is smaller than the sum of its proper divisors (3041819419464).

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

1102655119104 is a wasteful number, since it uses less digits than its factorization.

1102655119104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1634 (or 1599 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 36.

The spelling of 1102655119104 in words is "one trillion, one hundred two billion, six hundred fifty-five million, one hundred nineteen thousand, one hundred four".