105064417080 has 384 divisors, whose sum is σ = 404570350080. Its totient is φ = 23145108480.

The previous prime is 105064417079. The next prime is 105064417109. The reversal of 105064417080 is 80714460501.

It is a happy number.

105064417080 is a `hidden beast` number, since 1 + 0 + 5 + 0 + 644 + 1 + 7 + 0 + 8 + 0 = 666.

It is a super-2 number, since 2×105064417080² (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 an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 9971415 + ... + 9981945.

It is an arithmetic number, because the mean of its divisors is an integer number (1053568620).

Almost surely, 2^105064417080 is an apocalyptic number.

105064417080 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 105064417080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202285175040).

105064417080 is an abundant number, since it is smaller than the sum of its proper divisors (299505933000).

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

105064417080 is a wasteful number, since it uses less digits than its factorization.

105064417080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10699 (or 10692 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

Adding to 105064417080 its reverse (80714460501), we get a palindrome (185778877581).

The spelling of 105064417080 in words is "one hundred five billion, sixty-four million, four hundred seventeen thousand, eighty".