104715217152 has 864 divisors, whose sum is σ = 411040224000. Its totient is φ = 25974079488.

The previous prime is 104715217147. The next prime is 104715217177. The reversal of 104715217152 is 251712517401.

It is a happy number.

104715217152 is a `hidden beast` number, since 10 + 4 + 7 + 1 + 521 + 71 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-2 number, since 2×104715217152² (a number of 23 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 74849349 + ... + 74850747.

It is an arithmetic number, because the mean of its divisors is an integer number (475741000).

Almost surely, 2^104715217152 is an apocalyptic number.

104715217152 is a gapful number since it is divisible by the number (12) 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 104715217152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205520112000).

104715217152 is an abundant number, since it is smaller than the sum of its proper divisors (306325006848).

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

104715217152 is a wasteful number, since it uses less digits than its factorization.

104715217152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1468 (or 1441 counting only the distinct ones).

The product of its (nonzero) digits is 19600, while the sum is 36.

The spelling of 104715217152 in words is "one hundred four billion, seven hundred fifteen million, two hundred seventeen thousand, one hundred fifty-two".