104768769600 has 1512 divisors, whose sum is σ = 452860952544. Its totient is φ = 23721984000.

The previous prime is 104768769587. The next prime is 104768769601. The reversal of 104768769600 is 6967867401.

It is a happy number.

104768769600 is a `hidden beast` number, since 1 + 0 + 476 + 87 + 6 + 96 + 0 + 0 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104768769601) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 799761535 + ... + 799761665.

It is an arithmetic number, because the mean of its divisors is an integer number (299511212).

Almost surely, 2^104768769600 is an apocalyptic number.

104768769600 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 104768769600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226430476272).

104768769600 is an abundant number, since it is smaller than the sum of its proper divisors (348092182944).

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

104768769600 is a wasteful number, since it uses less digits than its factorization.

104768769600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The spelling of 104768769600 in words is "one hundred four billion, seven hundred sixty-eight million, seven hundred sixty-nine thousand, six hundred".