106260440 has 96 divisors (see below), whose sum is σ = 282625200. Its totient is φ = 35642880.

The previous prime is 106260433. The next prime is 106260443. The reversal of 106260440 is 44062601.

It is a happy number.

It is a super-2 number, since 2×106260440² = 22582562217987200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106260443) 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, 73646 + ... + 75074.

Almost surely, 2^106260440 is an apocalyptic number.

106260440 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 106260440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141312600).

106260440 is an abundant number, since it is smaller than the sum of its proper divisors (176364760).

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

106260440 is a wasteful number, since it uses less digits than its factorization.

106260440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1477 (or 1460 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

The square root of 106260440 is about 10308.2704659899. The cubic root of 106260440 is about 473.6496309953.

The spelling of 106260440 in words is "one hundred six million, two hundred sixty thousand, four hundred forty".