104234142412320 has 384 divisors, whose sum is σ = 340476706160640. Its totient is φ = 26776393728000.

The previous prime is 104234142412261. The next prime is 104234142412339. The reversal of 104234142412320 is 23214241432401.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15082349665 + ... + 15082356575.

It is an arithmetic number, because the mean of its divisors is an integer number (886658088960).

Almost surely, 2^{104234142412320} is an apocalyptic number.

104234142412320 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 104234142412320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170238353080320).

104234142412320 is an abundant number, since it is smaller than the sum of its proper divisors (236242563748320).

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

104234142412320 is a wasteful number, since it uses less digits than its factorization.

104234142412320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11440 (or 11432 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 33.

Adding to 104234142412320 its reverse (23214241432401), we get a palindrome (127448383844721).

The spelling of 104234142412320 in words is "one hundred four trillion, two hundred thirty-four billion, one hundred forty-two million, four hundred twelve thousand, three hundred twenty".