106741440 has 168 divisors, whose sum is σ = 395526768. Its totient is φ = 26265600.

The previous prime is 106741433. The next prime is 106741441. The reversal of 106741440 is 44147601.

It is a super-2 number, since 2×106741440² = 22787470026547200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106741441) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36015 + ... + 38865.

It is an arithmetic number, because the mean of its divisors is an integer number (2354326).

Almost surely, 2^106741440 is an apocalyptic number.

106741440 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 106741440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197763384).

106741440 is an abundant number, since it is smaller than the sum of its proper divisors (288785328).

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

106741440 is a wasteful number, since it uses less digits than its factorization.

106741440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2887 (or 2874 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 106741440 is about 10331.5749041470. The cubic root of 106741440 is about 474.3632317015.

The spelling of 106741440 in words is "one hundred six million, seven hundred forty-one thousand, four hundred forty".