106331040 has 144 divisors (see below), whose sum is σ = 371911176. Its totient is φ = 27648000.

The previous prime is 106330963. The next prime is 106331041. The reversal of 106331040 is 40133601.

It can be written as a sum of positive squares in 4 ways, for example, as 35569296 + 70761744 = 5964^2 + 8412^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×106331040² = 22612580134963200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106331041) 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, 58140 + ... + 59940.

Almost surely, 2^106331040 is an apocalyptic number.

106331040 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 106331040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185955588).

106331040 is an abundant number, since it is smaller than the sum of its proper divisors (265580136).

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

106331040 is a wasteful number, since it uses less digits than its factorization.

106331040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1863 (or 1852 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 106331040 is about 10311.6943321648. The cubic root of 106331040 is about 473.7545062146.

Adding to 106331040 its reverse (40133601), we get a palindrome (146464641).

The spelling of 106331040 in words is "one hundred six million, three hundred thirty-one thousand, forty".