106322900 has 36 divisors (see below), whose sum is σ = 231860160. Its totient is φ = 42319200.

The previous prime is 106322893. The next prime is 106322933. The reversal of 106322900 is 9223601.

It is a super-2 number, since 2×106322900² = 22609118128820000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18581 + ... + 23619.

It is an arithmetic number, because the mean of its divisors is an integer number (6440560).

Almost surely, 2^106322900 is an apocalyptic number.

106322900 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 106322900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115930080).

106322900 is an abundant number, since it is smaller than the sum of its proper divisors (125537260).

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

106322900 is a wasteful number, since it uses less digits than its factorization.

106322900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5264 (or 5257 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 23.

The square root of 106322900 is about 10311.2996271081. The cubic root of 106322900 is about 473.7424167373.

The spelling of 106322900 in words is "one hundred six million, three hundred twenty-two thousand, nine hundred".