104983776144 has 405 divisors, whose sum is σ = 333721673649. Its totient is φ = 30794100480.

The previous prime is 104983776109. The next prime is 104983776179. The reversal of 104983776144 is 441677389401.

It is a happy number.

The square root of 104983776144 is 324012.

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

104983776144 is a `hidden beast` number, since 1 + 0 + 498 + 3 + 7 + 7 + 6 + 144 = 666.

It is an interprime number because it is at equal distance from previous prime (104983776109) and next prime (104983776179).

It can be written as a sum of positive squares in only one way, i.e., 15530144400 + 89453631744 = 124620^2 + 299088^2 .

It is a super-2 number, since 2×104983776144² (a number of 23 digits) contains 22 as substring.

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, 1566921999 + ... + 1566922065.

Almost surely, 2^104983776144 is an apocalyptic number.

104983776144 is the 324012-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104983776144

104983776144 is an abundant number, since it is smaller than the sum of its proper divisors (228737897505).

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

104983776144 is a wasteful number, since it uses less digits than its factorization.

104983776144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 104983776144 in words is "one hundred four billion, nine hundred eighty-three million, seven hundred seventy-six thousand, one hundred forty-four".