105863538480 has 160 divisors (see below), whose sum is σ = 376487046144. Its totient is φ = 24105274368.

The previous prime is 105863538467. The next prime is 105863538493. The reversal of 105863538480 is 84835368501.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (105863538467) and next prime (105863538493).

It is a super-2 number, since 2×105863538480² (a number of 23 digits) contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 322042 + ... + 561638.

Almost surely, 2^105863538480 is an apocalyptic number.

105863538480 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 105863538480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188243523072).

105863538480 is an abundant number, since it is smaller than the sum of its proper divisors (270623507664).

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

105863538480 is a wasteful number, since it uses less digits than its factorization.

105863538480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239883 (or 239877 counting only the distinct ones).

The product of its (nonzero) digits is 2764800, while the sum is 51.

The spelling of 105863538480 in words is "one hundred five billion, eight hundred sixty-three million, five hundred thirty-eight thousand, four hundred eighty".