106445440 has 64 divisors (see below), whose sum is σ = 258876000. Its totient is φ = 41841664.

The previous prime is 106445407. The next prime is 106445441. The reversal of 106445440 is 44544601.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×106445440² = 22661263393587200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106445399 and 106445408.

It is not an unprimeable number, because it can be changed into a prime (106445441) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 36351 + ... + 39169.

Almost surely, 2^106445440 is an apocalyptic number.

106445440 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 106445440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129438000).

106445440 is an abundant number, since it is smaller than the sum of its proper divisors (152430560).

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

106445440 is an equidigital number, since it uses as much as digits as its factorization.

106445440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2897 (or 2885 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 28.

The square root of 106445440 is about 10317.2399409920. The cubic root of 106445440 is about 473.9243471515.

The spelling of 106445440 in words is "one hundred six million, four hundred forty-five thousand, four hundred forty".