106989120 has 448 divisors, whose sum is σ = 453542400. Its totient is φ = 23224320.

The previous prime is 106989097. The next prime is 106989121. The reversal of 106989120 is 21989601.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×106989120² = 22893343596748800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (106989121) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1753890 + ... + 1753950.

Almost surely, 2^106989120 is an apocalyptic number.

106989120 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 106989120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226771200).

106989120 is an abundant number, since it is smaller than the sum of its proper divisors (346553280).

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

106989120 is a wasteful number, since it uses less digits than its factorization.

106989120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 36.

The square root of 106989120 is about 10343.5545147691. The cubic root of 106989120 is about 474.7298482296.

The spelling of 106989120 in words is "one hundred six million, nine hundred eighty-nine thousand, one hundred twenty".