104097766500 has 288 divisors, whose sum is σ = 404178518016. Its totient is φ = 21963398400.

The previous prime is 104097766499. The next prime is 104097766501. The reversal of 104097766500 is 5667790401.

It is a happy number.

104097766500 is a `hidden beast` number, since 10 + 4 + 0 + 9 + 77 + 66 + 500 = 666.

It is an interprime number because it is at equal distance from previous prime (104097766499) and next prime (104097766501).

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

It is not an unprimeable number, because it can be changed into a prime (104097766501) 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 95 ways as a sum of consecutive naturals, for example, 282397 + ... + 536603.

It is an arithmetic number, because the mean of its divisors is an integer number (1403397632).

Almost surely, 2^104097766500 is an apocalyptic number.

104097766500 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 104097766500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202089259008).

104097766500 is an abundant number, since it is smaller than the sum of its proper divisors (300080751516).

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

104097766500 is a wasteful number, since it uses less digits than its factorization.

104097766500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254252 (or 254237 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The spelling of 104097766500 in words is "one hundred four billion, ninety-seven million, seven hundred sixty-six thousand, five hundred".