106750122393600 has 3168 divisors, whose sum is σ = 486183471105600. Its totient is φ = 23115815976960.

The previous prime is 106750122393539. The next prime is 106750122393667. The reversal of 106750122393600 is 6393221057601.

106750122393600 is a `hidden beast` number, since 1 + 0 + 6 + 7 + 5 + 0 + 1 + 2 + 2 + 39 + 3 + 600 = 666.

It is a super-3 number, since 3×106750122393600³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 5618427494391 + ... + 5618427494409.

Almost surely, 2^{106750122393600} is an apocalyptic number.

106750122393600 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 106750122393600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243091735552800).

106750122393600 is an abundant number, since it is smaller than the sum of its proper divisors (379433348712000).

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

106750122393600 is an frugal number, since it uses more digits than its factorization.

106750122393600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The spelling of 106750122393600 in words is "one hundred six trillion, seven hundred fifty billion, one hundred twenty-two million, three hundred ninety-three thousand, six hundred".