104141744100 has 243 divisors, whose sum is σ = 338270908521. Its totient is φ = 26797838400.

The previous prime is 104141744093. The next prime is 104141744117. The reversal of 104141744100 is 1447141401.

The square root of 104141744100 is 322710.

It is a perfect power (a square), and thus also a powerful number.

104141744100 is a `hidden beast` number, since 104 + 1 + 417 + 44 + 100 = 666.

It can be written as a sum of positive squares in only one way, i.e., 37491027876 + 66650716224 = 193626^2 + 258168^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 300120127 + ... + 300120473.

Almost surely, 2^104141744100 is an apocalyptic number.

104141744100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

104141744100 is the 322710-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104141744100

104141744100 is an abundant number, since it is smaller than the sum of its proper divisors (234129164421).

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

104141744100 is a wasteful number, since it uses less digits than its factorization.

104141744100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 776 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

Adding to 104141744100 its reverse (1447141401), we get a palindrome (105588885501).

It can be divided in two parts, 104141 and 744100, that added together give a square (848241 = 921²).

The spelling of 104141744100 in words is "one hundred four billion, one hundred forty-one million, seven hundred forty-four thousand, one hundred".