105463528608 has 192 divisors, whose sum is σ = 298391869440. Its totient is φ = 32510380032.

The previous prime is 105463528603. The next prime is 105463528613. The reversal of 105463528608 is 806825364501.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (105463528603) and next prime (105463528613).

It is a super-2 number, since 2×105463528608² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (105463528603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37976116 + ... + 37978892.

It is an arithmetic number, because the mean of its divisors is an integer number (1554124320).

Almost surely, 2^105463528608 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105463528608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149195934720).

105463528608 is an abundant number, since it is smaller than the sum of its proper divisors (192928340832).

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

105463528608 is a wasteful number, since it uses less digits than its factorization.

105463528608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3299 (or 3291 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 48.

The spelling of 105463528608 in words is "one hundred five billion, four hundred sixty-three million, five hundred twenty-eight thousand, six hundred eight".