106989300 has 216 divisors, whose sum is σ = 372913632. Its totient is φ = 25440000.

The previous prime is 106989283. The next prime is 106989317. The reversal of 106989300 is 3989601.

It is an interprime number because it is at equal distance from previous prime (106989283) and next prime (106989317).

It is a super-2 number, since 2×106989300² = 22893420628980000, which 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 71 ways as a sum of consecutive naturals, for example, 999847 + ... + 999953.

It is an arithmetic number, because the mean of its divisors is an integer number (1726452).

Almost surely, 2^106989300 is an apocalyptic number.

106989300 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 106989300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186456816).

106989300 is an abundant number, since it is smaller than the sum of its proper divisors (265924332).

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

106989300 is a wasteful number, since it uses less digits than its factorization.

106989300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 106989300 is about 10343.5632158362. The cubic root of 106989300 is about 474.7301144602.

The spelling of 106989300 in words is "one hundred six million, nine hundred eighty-nine thousand, three hundred".