106333063200 has 1152 divisors, whose sum is σ = 483809034240. Its totient is φ = 21938688000.

The previous prime is 106333063163. The next prime is 106333063219. The reversal of 106333063200 is 2360333601.

106333063200 = T₃₈₄ + T₃₈₅ + ... + T₈₆₀₈.

106333063200 is a `hidden beast` number, since 1 + 0 + 6 + 3 + 330 + 6 + 320 + 0 = 666.

It is a super-2 number, since 2×106333063200² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 92382625 + ... + 92383775.

It is an arithmetic number, because the mean of its divisors is an integer number (419973120).

Almost surely, 2^106333063200 is an apocalyptic number.

106333063200 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 106333063200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241904517120).

106333063200 is an abundant number, since it is smaller than the sum of its proper divisors (377475971040).

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

106333063200 is a wasteful number, since it uses less digits than its factorization.

106333063200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1247 (or 1228 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 106333063200 its reverse (2360333601), we get a palindrome (108693396801).

The spelling of 106333063200 in words is "one hundred six billion, three hundred thirty-three million, sixty-three thousand, two hundred".