104102965074240 has 1344 divisors, whose sum is σ = 428566844160000. Its totient is φ = 23787931115520.

The previous prime is 104102965074233. The next prime is 104102965074247. The reversal of 104102965074240 is 42470569201401.

104102965074240 is a `hidden beast` number, since 1 + 0 + 4 + 1 + 0 + 296 + 50 + 74 + 240 = 666.

It is an interprime number because it is at equal distance from previous prime (104102965074233) and next prime (104102965074247).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104102965074247) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3234100066 + ... + 3234132254.

It is an arithmetic number, because the mean of its divisors is an integer number (318874140000).

Almost surely, 2^{104102965074240} is an apocalyptic number.

104102965074240 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 104102965074240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214283422080000).

104102965074240 is an abundant number, since it is smaller than the sum of its proper divisors (324463879085760).

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

104102965074240 is a wasteful number, since it uses less digits than its factorization.

104102965074240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32450 (or 32428 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 104102965074240 in words is "one hundred four trillion, one hundred two billion, nine hundred sixty-five million, seventy-four thousand, two hundred forty".