106989800 has 24 divisors (see below), whose sum is σ = 248751750. Its totient is φ = 42795840.

The previous prime is 106989793. The next prime is 106989803. The reversal of 106989800 is 8989601.

It can be written as a sum of positive squares in 3 ways, for example, as 43850884 + 63138916 = 6622^2 + 7946^2 .

It is a super-2 number, since 2×106989800² = 22893634608080000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (41) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (106989803) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 267275 + ... + 267674.

Almost surely, 2^106989800 is an apocalyptic number.

106989800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106989800 is an abundant number, since it is smaller than the sum of its proper divisors (141761950).

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

106989800 is a wasteful number, since it uses less digits than its factorization.

106989800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 534965 (or 534956 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 41.

The square root of 106989800 is about 10343.5873854287. The cubic root of 106989800 is about 474.7308539880.

The spelling of 106989800 in words is "one hundred six million, nine hundred eighty-nine thousand, eight hundred".