106945440 has 144 divisors (see below), whose sum is σ = 391964832. Its totient is φ = 24439296.

The previous prime is 106945427. The next prime is 106945451. The reversal of 106945440 is 44549601.

It is a super-2 number, since 2×106945440² = 22874654273587200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21247 + ... + 25793.

It is an arithmetic number, because the mean of its divisors is an integer number (2721978).

Almost surely, 2^106945440 is an apocalyptic number.

106945440 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 106945440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195982416).

106945440 is an abundant number, since it is smaller than the sum of its proper divisors (285019392).

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

106945440 is a wasteful number, since it uses less digits than its factorization.

106945440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4579 (or 4564 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 106945440 is about 10341.4428393721. The cubic root of 106945440 is about 474.6652341131.

The spelling of 106945440 in words is "one hundred six million, nine hundred forty-five thousand, four hundred forty".