106789440 has 112 divisors (see below), whose sum is σ = 341546688. Its totient is φ = 28268544.

The previous prime is 106789433. The next prime is 106789477. The reversal of 106789440 is 44987601.

It is a happy number.

It is a super-2 number, since 2×106789440² = 22807968991027200, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 165759 + ... + 166401.

It is an arithmetic number, because the mean of its divisors is an integer number (3049524).

Almost surely, 2^106789440 is an apocalyptic number.

106789440 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 106789440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170773344).

106789440 is an abundant number, since it is smaller than the sum of its proper divisors (234757248).

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

106789440 is a wasteful number, since it uses less digits than its factorization.

106789440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 836 (or 826 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The square root of 106789440 is about 10333.8976190013. The cubic root of 106789440 is about 474.4343256863.

The spelling of 106789440 in words is "one hundred six million, seven hundred eighty-nine thousand, four hundred forty".