106740440 has 64 divisors (see below), whose sum is σ = 252288000. Its totient is φ = 40590720.

The previous prime is 106740437. The next prime is 106740443. The reversal of 106740440 is 44047601.

It is an interprime number because it is at equal distance from previous prime (106740437) and next prime (106740443).

It is a super-2 number, since 2×106740440² = 22787043062787200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106740443) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 72431 + ... + 73889.

It is an arithmetic number, because the mean of its divisors is an integer number (3942000).

Almost surely, 2^106740440 is an apocalyptic number.

106740440 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 106740440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126144000).

106740440 is an abundant number, since it is smaller than the sum of its proper divisors (145547560).

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

106740440 is a wasteful number, since it uses less digits than its factorization.

106740440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1560 (or 1556 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 26.

The square root of 106740440 is about 10331.5265087014. The cubic root of 106740440 is about 474.3617503502.

The spelling of 106740440 in words is "one hundred six million, seven hundred forty thousand, four hundred forty".