106221772800 has 1512 divisors, whose sum is σ = 463960268928. Its totient is φ = 23003136000.

The previous prime is 106221772777. The next prime is 106221772801. The reversal of 106221772800 is 8277122601.

106221772800 is a `hidden beast` number, since 1 + 0 + 622 + 1 + 7 + 7 + 28 + 0 + 0 = 666.

It is a super-2 number, since 2×106221772800² (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 not an unprimeable number, because it can be changed into a prime (106221772801) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 3426508785 + ... + 3426508815.

Almost surely, 2^106221772800 is an apocalyptic number.

106221772800 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 106221772800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231980134464).

106221772800 is an abundant number, since it is smaller than the sum of its proper divisors (357738496128).

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

106221772800 is a wasteful number, since it uses less digits than its factorization.

106221772800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The spelling of 106221772800 in words is "one hundred six billion, two hundred twenty-one million, seven hundred seventy-two thousand, eight hundred".