104283932760 has 960 divisors, whose sum is σ = 433364152320. Its totient is φ = 22019765760.

The previous prime is 104283932743. The next prime is 104283932771. The reversal of 104283932760 is 67239382401.

104283932760 is a `hidden beast` number, since 10 + 4 + 283 + 93 + 276 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 384811425 + ... + 384811695.

It is an arithmetic number, because the mean of its divisors is an integer number (451420992).

Almost surely, 2^104283932760 is an apocalyptic number.

104283932760 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 104283932760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216682076160).

104283932760 is an abundant number, since it is smaller than the sum of its proper divisors (329080219560).

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

104283932760 is a wasteful number, since it uses less digits than its factorization.

104283932760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 386 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 104283932760 in words is "one hundred four billion, two hundred eighty-three million, nine hundred thirty-two thousand, seven hundred sixty".