104114232144 has 320 divisors, whose sum is σ = 333766137600. Its totient is φ = 30853122048.

The previous prime is 104114232119. The next prime is 104114232169. The reversal of 104114232144 is 441232411401.

104114232144 is a `hidden beast` number, since 1 + 0 + 411 + 4 + 232 + 14 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (104114232119) and next prime (104114232169).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 125893459 + ... + 125894285.

It is an arithmetic number, because the mean of its divisors is an integer number (1043019180).

Almost surely, 2^104114232144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104114232144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166883068800).

104114232144 is an abundant number, since it is smaller than the sum of its proper divisors (229651905456).

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

104114232144 is a wasteful number, since it uses less digits than its factorization.

104114232144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1659 (or 1647 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 104114232144 its reverse (441232411401), we get a palindrome (545346643545).

The spelling of 104114232144 in words is "one hundred four billion, one hundred fourteen million, two hundred thirty-two thousand, one hundred forty-four".