104909433552 has 1260 divisors, whose sum is σ = 409959768708. Its totient is φ = 25866086400.

The previous prime is 104909433523. The next prime is 104909433553. The reversal of 104909433552 is 255334909401.

104909433552 is a `hidden beast` number, since 1 + 0 + 4 + 9 + 0 + 94 + 3 + 3 + 552 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 46749358656 + 58160074896 = 216216^2 + 241164^2 .

It is a super-2 number, since 2×104909433552² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 104909433498 and 104909433507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104909433553) by changing a digit.

It is a polite number, since it can be written in 251 ways as a sum of consecutive naturals, for example, 2558766652 + ... + 2558766692.

Almost surely, 2^104909433552 is an apocalyptic number.

104909433552 is a gapful number since it is divisible by the number (12) 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 104909433552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204979884354).

104909433552 is an abundant number, since it is smaller than the sum of its proper divisors (305050335156).

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

104909433552 is a wasteful number, since it uses less digits than its factorization.

104909433552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 45.

The spelling of 104909433552 in words is "one hundred four billion, nine hundred nine million, four hundred thirty-three thousand, five hundred fifty-two".