106466227200 has 1056 divisors, whose sum is σ = 421313867520. Its totient is φ = 26276659200.

The previous prime is 106466227171. The next prime is 106466227249. The reversal of 106466227200 is 2722664601.

106466227200 is a `hidden beast` number, since 1 + 0 + 6 + 4 + 6 + 622 + 7 + 20 + 0 = 666.

It is a super-2 number, since 2×106466227200² (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 95 ways as a sum of consecutive naturals, for example, 588211110 + ... + 588211290.

Almost surely, 2^106466227200 is an apocalyptic number.

106466227200 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 106466227200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210656933760).

106466227200 is an abundant number, since it is smaller than the sum of its proper divisors (314847640320).

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

106466227200 is a wasteful number, since it uses less digits than its factorization.

106466227200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 106466227200 in words is "one hundred six billion, four hundred sixty-six million, two hundred twenty-seven thousand, two hundred".