106851225600 has 624 divisors, whose sum is σ = 448688563840. Its totient is φ = 24418713600.

The previous prime is 106851225473. The next prime is 106851225601. The reversal of 106851225600 is 6522158601.

106851225600 is a `hidden beast` number, since 1 + 0 + 6 + 85 + 12 + 2 + 560 + 0 = 666.

It is a super-2 number, since 2×106851225600² (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 not an unprimeable number, because it can be changed into a prime (106851225601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19350840 + ... + 19356360.

Almost surely, 2^106851225600 is an apocalyptic number.

106851225600 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 106851225600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224344281920).

106851225600 is an abundant number, since it is smaller than the sum of its proper divisors (341837338240).

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

106851225600 is an equidigital number, since it uses as much as digits as its factorization.

106851225600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5571 (or 5538 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The spelling of 106851225600 in words is "one hundred six billion, eight hundred fifty-one million, two hundred twenty-five thousand, six hundred".