106747440 has 80 divisors (see below), whose sum is σ = 333142368. Its totient is φ = 28274688.

The previous prime is 106747429. The next prime is 106747441. The reversal of 106747440 is 44747601.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×106747440² = 22790031893107200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106747441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36264 + ... + 39096.

Almost surely, 2^106747440 is an apocalyptic number.

106747440 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 106747440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166571184).

106747440 is an abundant number, since it is smaller than the sum of its proper divisors (226394928).

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

106747440 is a wasteful number, since it uses less digits than its factorization.

106747440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3006 (or 3000 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 33.

The square root of 106747440 is about 10331.8652720600. The cubic root of 106747440 is about 474.3721196150.

The spelling of 106747440 in words is "one hundred six million, seven hundred forty-seven thousand, four hundred forty".