106563750912 has 528 divisors, whose sum is σ = 345982171392. Its totient is φ = 31425822720.

The previous prime is 106563750901. The next prime is 106563750913. The reversal of 106563750912 is 219057365601.

106563750912 is a `hidden beast` number, since 1 + 0 + 6 + 5 + 637 + 5 + 0 + 9 + 1 + 2 = 666.

It is a super-2 number, since 2×106563750912² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106563750913) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 179702488 + ... + 179703080.

It is an arithmetic number, because the mean of its divisors is an integer number (655269264).

Almost surely, 2^106563750912 is an apocalyptic number.

106563750912 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 106563750912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172991085696).

106563750912 is an abundant number, since it is smaller than the sum of its proper divisors (239418420480).

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

106563750912 is a wasteful number, since it uses less digits than its factorization.

106563750912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 704 (or 683 counting only the distinct ones).

The product of its (nonzero) digits is 340200, while the sum is 45.

The spelling of 106563750912 in words is "one hundred six billion, five hundred sixty-three million, seven hundred fifty thousand, nine hundred twelve".