106171200 has 252 divisors, whose sum is σ = 386314188. Its totient is φ = 27648000.

The previous prime is 106171157. The next prime is 106171201. The reversal of 106171200 is 2171601.

It can be written as a sum of positive squares in 6 ways, for example, as 3594816 + 102576384 = 1896^2 + 10128^2 .

It is a super-2 number, since 2×106171200² = 22544647418880000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106171201) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1051150 + ... + 1051250.

Almost surely, 2^106171200 is an apocalyptic number.

106171200 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 106171200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193157094).

106171200 is an abundant number, since it is smaller than the sum of its proper divisors (280142988).

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

106171200 is a wasteful number, since it uses less digits than its factorization.

106171200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 18.

The square root of 106171200 is about 10303.9409936199. The cubic root of 106171200 is about 473.5169998509.

The spelling of 106171200 in words is "one hundred six million, one hundred seventy-one thousand, two hundred".