106863264480 has 384 divisors, whose sum is σ = 398312570880. Its totient is φ = 23566878720.

The previous prime is 106863264467. The next prime is 106863264481. The reversal of 106863264480 is 84462368601.

It is a super-2 number, since 2×106863264480² (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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106863264481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 39475287 + ... + 39477993.

It is an arithmetic number, because the mean of its divisors is an integer number (1037272320).

Almost surely, 2^106863264480 is an apocalyptic number.

106863264480 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 106863264480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199156285440).

106863264480 is an abundant number, since it is smaller than the sum of its proper divisors (291449306400).

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

106863264480 is a wasteful number, since it uses less digits than its factorization.

106863264480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3142 (or 3134 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 48.

The spelling of 106863264480 in words is "one hundred six billion, eight hundred sixty-three million, two hundred sixty-four thousand, four hundred eighty".