104144186900 has 144 divisors (see below), whose sum is σ = 252648829440. Its totient is φ = 37002355200.

The previous prime is 104144186857. The next prime is 104144186903. The reversal of 104144186900 is 9681441401.

It is a super-2 number, since 2×104144186900² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104144186903) 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 47 ways as a sum of consecutive naturals, for example, 7206482 + ... + 7220918.

It is an arithmetic number, because the mean of its divisors is an integer number (1754505760).

Almost surely, 2^104144186900 is an apocalyptic number.

104144186900 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 104144186900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126324414720).

104144186900 is an abundant number, since it is smaller than the sum of its proper divisors (148504642540).

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

104144186900 is a wasteful number, since it uses less digits than its factorization.

104144186900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14674 (or 14667 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 38.

The spelling of 104144186900 in words is "one hundred four billion, one hundred forty-four million, one hundred eighty-six thousand, nine hundred".