104272118734080 has 288 divisors, whose sum is σ = 363343925831040. Its totient is φ = 25274583613440.

The previous prime is 104272118734057. The next prime is 104272118734103. The reversal of 104272118734080 is 80437811272401.

It is an interprime number because it is at equal distance from previous prime (104272118734057) and next prime (104272118734103).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 311099064 + ... + 311434056.

It is an arithmetic number, because the mean of its divisors is an integer number (1261610853580).

Almost surely, 2^{104272118734080} is an apocalyptic number.

104272118734080 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 104272118734080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181671962915520).

104272118734080 is an abundant number, since it is smaller than the sum of its proper divisors (259071807096960).

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

104272118734080 is a wasteful number, since it uses less digits than its factorization.

104272118734080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342397 (or 342383 counting only the distinct ones).

The product of its (nonzero) digits is 602112, while the sum is 48.

The spelling of 104272118734080 in words is "one hundred four trillion, two hundred seventy-two billion, one hundred eighteen million, seven hundred thirty-four thousand, eighty".