106889440 has 96 divisors (see below), whose sum is σ = 303851520. Its totient is φ = 34712064.

The previous prime is 106889429. The next prime is 106889473. The reversal of 106889440 is 44988601.

It is a super-2 number, since 2×106889440² = 22850704767027200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 106889393 and 106889402.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18769 + ... + 23791.

It is an arithmetic number, because the mean of its divisors is an integer number (3165120).

Almost surely, 2^106889440 is an apocalyptic number.

106889440 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 106889440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151925760).

106889440 is an abundant number, since it is smaller than the sum of its proper divisors (196962080).

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

106889440 is a wasteful number, since it uses less digits than its factorization.

106889440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5064 (or 5056 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 40.

The square root of 106889440 is about 10338.7349322826. The cubic root of 106889440 is about 474.5823697602.

The spelling of 106889440 in words is "one hundred six million, eight hundred eighty-nine thousand, four hundred forty".