102104183412 has 576 divisors, whose sum is σ = 351324739584. Its totient is φ = 24196423680.

The previous prime is 102104183393. The next prime is 102104183413. The reversal of 102104183412 is 214381401201.

102104183412 is a `hidden beast` number, since 1 + 0 + 210 + 418 + 34 + 1 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102104183413) 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 191 ways as a sum of consecutive naturals, for example, 230483263 + ... + 230483705.

It is an arithmetic number, because the mean of its divisors is an integer number (609938784).

Almost surely, 2^102104183412 is an apocalyptic number.

102104183412 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 102104183412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175662369792).

102104183412 is an abundant number, since it is smaller than the sum of its proper divisors (249220556172).

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

102104183412 is a wasteful number, since it uses less digits than its factorization.

102104183412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 628 (or 623 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

Adding to 102104183412 its reverse (214381401201), we get a palindrome (316485584613).

The spelling of 102104183412 in words is "one hundred two billion, one hundred four million, one hundred eighty-three thousand, four hundred twelve".