104134976640 has 384 divisors, whose sum is σ = 382330990080. Its totient is φ = 26059038720.

The previous prime is 104134976633. The next prime is 104134976641. The reversal of 104134976640 is 46679431401.

104134976640 is a `hidden beast` number, since 104 + 13 + 497 + 6 + 6 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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 (104134976641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7014025 + ... + 7028855.

It is an arithmetic number, because the mean of its divisors is an integer number (995653620).

Almost surely, 2^104134976640 is an apocalyptic number.

104134976640 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 104134976640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191165495040).

104134976640 is an abundant number, since it is smaller than the sum of its proper divisors (278196013440).

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

104134976640 is a wasteful number, since it uses less digits than its factorization.

104134976640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14932 (or 14917 counting only the distinct ones).

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

The spelling of 104134976640 in words is "one hundred four billion, one hundred thirty-four million, nine hundred seventy-six thousand, six hundred forty".