104705497917720 has 1440 divisors, whose sum is σ = 432763198124400. Its totient is φ = 22636446852096.

The previous prime is 104705497917719. The next prime is 104705497917751. The reversal of 104705497917720 is 27719794507401.

104705497917720 is a `hidden beast` number, since 1 + 0 + 4 + 7 + 0 + 549 + 7 + 9 + 17 + 72 + 0 = 666.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 50606812846 + ... + 50606814914.

Almost surely, 2^{104705497917720} is an apocalyptic number.

104705497917720 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 104705497917720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216381599062200).

104705497917720 is an abundant number, since it is smaller than the sum of its proper divisors (328057700206680).

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

104705497917720 is a wasteful number, since it uses less digits than its factorization.

104705497917720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3027 (or 2988 counting only the distinct ones).

The product of its (nonzero) digits is 31116960, while the sum is 63.

The spelling of 104705497917720 in words is "one hundred four trillion, seven hundred five billion, four hundred ninety-seven million, nine hundred seventeen thousand, seven hundred twenty".