104917220352 has 352 divisors, whose sum is σ = 360963722240. Its totient is φ = 29481615360.

The previous prime is 104917220347. The next prime is 104917220357. The reversal of 104917220352 is 253022719401.

It is an interprime number because it is at equal distance from previous prime (104917220347) and next prime (104917220357).

It is a super-2 number, since 2×104917220352² (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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104917220357) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11801253 + ... + 11810139.

It is an arithmetic number, because the mean of its divisors is an integer number (1025465120).

Almost surely, 2^104917220352 is an apocalyptic number.

104917220352 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 104917220352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180481861120).

104917220352 is an abundant number, since it is smaller than the sum of its proper divisors (256046501888).

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

104917220352 is an equidigital number, since it uses as much as digits as its factorization.

104917220352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8984 (or 8960 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

Adding to 104917220352 its reverse (253022719401), we get a palindrome (357939939753).

The spelling of 104917220352 in words is "one hundred four billion, nine hundred seventeen million, two hundred twenty thousand, three hundred fifty-two".