104725146256140 has 96 divisors (see below), whose sum is σ = 297661126533120. Its totient is φ = 27504884284416.

The previous prime is 104725146256127. The next prime is 104725146256147. The reversal of 104725146256140 is 41652641527401.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 104725146256140.

It is not an unprimeable number, because it can be changed into a prime (104725146256147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19755076 + ... + 24489044.

It is an arithmetic number, because the mean of its divisors is an integer number (3100636734720).

Almost surely, 2^{104725146256140} is an apocalyptic number.

104725146256140 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 104725146256140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148830563266560).

104725146256140 is an abundant number, since it is smaller than the sum of its proper divisors (192935980276980).

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

104725146256140 is a wasteful number, since it uses less digits than its factorization.

104725146256140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4739551 (or 4739549 counting only the distinct ones).

The product of its (nonzero) digits is 1612800, while the sum is 48.

The spelling of 104725146256140 in words is "one hundred four trillion, seven hundred twenty-five billion, one hundred forty-six million, two hundred fifty-six thousand, one hundred forty".