104701714416 has 240 divisors, whose sum is σ = 319503300480. Its totient is φ = 31815866880.

The previous prime is 104701714339. The next prime is 104701714417. The reversal of 104701714416 is 614417107401.

104701714416 is a `hidden beast` number, since 1 + 0 + 4 + 70 + 171 + 4 + 416 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104701714417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 54902935 + ... + 54904841.

It is an arithmetic number, because the mean of its divisors is an integer number (1331263752).

Almost surely, 2^104701714416 is an apocalyptic number.

104701714416 is a gapful number since it is divisible by the number (16) 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 104701714416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159751650240).

104701714416 is an abundant number, since it is smaller than the sum of its proper divisors (214801586064).

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

104701714416 is a wasteful number, since it uses less digits than its factorization.

104701714416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2284 (or 2275 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The spelling of 104701714416 in words is "one hundred four billion, seven hundred one million, seven hundred fourteen thousand, four hundred sixteen".