106089984 has 480 divisors, whose sum is σ = 428972544. Its totient is φ = 24330240.

The previous prime is 106089983. The next prime is 106090003. The reversal of 106089984 is 489980601.

It is a super-2 number, since 2×106089984² = 22510169410240512, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106089983) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4612597 + ... + 4612619.

Almost surely, 2^106089984 is an apocalyptic number.

106089984 is a gapful number since it is divisible by the number (14) 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 106089984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214486272).

106089984 is an abundant number, since it is smaller than the sum of its proper divisors (322882560).

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

106089984 is a wasteful number, since it uses less digits than its factorization.

106089984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The square root of 106089984 is about 10299.9992233009. Note that the first 3 decimals coincide. The cubic root of 106089984 is about 473.3962296018.

The spelling of 106089984 in words is "one hundred six million, eighty-nine thousand, nine hundred eighty-four".