106362200 has 192 divisors, whose sum is σ = 309355200. Its totient is φ = 33177600.

The previous prime is 106362199. The next prime is 106362211. The reversal of 106362200 is 2263601.

It is a super-2 number, since 2×106362200² = 22625835177680000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 975746 + ... + 975854.

It is an arithmetic number, because the mean of its divisors is an integer number (1611225).

Almost surely, 2^106362200 is an apocalyptic number.

106362200 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 106362200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154677600).

106362200 is an abundant number, since it is smaller than the sum of its proper divisors (202993000).

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

106362200 is a wasteful number, since it uses less digits than its factorization.

106362200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

The square root of 106362200 is about 10313.2051274083. The cubic root of 106362200 is about 473.8007791519.

The spelling of 106362200 in words is "one hundred six million, three hundred sixty-two thousand, two hundred".