106622208252 has 192 divisors, whose sum is σ = 320295306240. Its totient is φ = 30043948032.

The previous prime is 106622208229. The next prime is 106622208283. The reversal of 106622208252 is 252802226601.

106622208252 is a `hidden beast` number, since 1 + 0 + 6 + 622 + 2 + 0 + 8 + 25 + 2 = 666.

It is a super-2 number, since 2×106622208252² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18845008 + ... + 18850664.

It is an arithmetic number, because the mean of its divisors is an integer number (1668204720).

Almost surely, 2^106622208252 is an apocalyptic number.

106622208252 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 106622208252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160147653120).

106622208252 is an abundant number, since it is smaller than the sum of its proper divisors (213673097988).

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

106622208252 is a wasteful number, since it uses less digits than its factorization.

106622208252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6017 (or 6009 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 106622208252 in words is "one hundred six billion, six hundred twenty-two million, two hundred eight thousand, two hundred fifty-two".