106440 has 32 divisors (see below), whose sum is σ = 319680. Its totient is φ = 28352.

The previous prime is 106433. The next prime is 106441. The reversal of 106440 is 44601.

It is a super-2 number, since 2×106440² = 22658947200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 106440.

It is not an unprimeable number, because it can be changed into a prime (106441) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 324 + ... + 563.

It is an arithmetic number, because the mean of its divisors is an integer number (9990).

2¹⁰⁶⁴⁴⁰ is an apocalyptic number.

106440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106440 is an abundant number, since it is smaller than the sum of its proper divisors (213240).

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

106440 is a wasteful number, since it uses less digits than its factorization.

106440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 901 (or 897 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 106440 is about 326.2514367784. The cubic root of 106440 is about 47.3916273556.

The spelling of 106440 in words is "one hundred six thousand, four hundred forty".