104123132100 has 576 divisors, whose sum is σ = 380180666880. Its totient is φ = 24254208000.

The previous prime is 104123132033. The next prime is 104123132107. The reversal of 104123132100 is 1231321401.

104123132100 is a `hidden beast` number, since 10 + 412 + 31 + 3 + 210 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (104123132107) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 81536662 + ... + 81537938.

It is an arithmetic number, because the mean of its divisors is an integer number (660035880).

Almost surely, 2^104123132100 is an apocalyptic number.

104123132100 is a gapful number since it is divisible by the number (10) 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 104123132100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190090333440).

104123132100 is an abundant number, since it is smaller than the sum of its proper divisors (276057534780).

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

104123132100 is a wasteful number, since it uses less digits than its factorization.

104123132100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1437 (or 1424 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 104123132100 its reverse (1231321401), we get a palindrome (105354453501).

The spelling of 104123132100 in words is "one hundred four billion, one hundred twenty-three million, one hundred thirty-two thousand, one hundred".