106024040 has 32 divisors (see below), whose sum is σ = 238886280. Its totient is φ = 42350592.

The previous prime is 106024033. The next prime is 106024049. The reversal of 106024040 is 40420601.

It can be written as a sum of positive squares in 4 ways, for example, as 104080804 + 1943236 = 10202^2 + 1394^2 .

It is a super-2 number, since 2×106024040² = 22482194115843200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106024049) 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, 37724 + ... + 40436.

Almost surely, 2^106024040 is an apocalyptic number.

106024040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106024040 is an abundant number, since it is smaller than the sum of its proper divisors (132862240).

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

106024040 is a wasteful number, since it uses less digits than its factorization.

106024040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3701 (or 3697 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 106024040 is about 10296.7975604068. The cubic root of 106024040 is about 473.2981238550.

Adding to 106024040 its reverse (40420601), we get a palindrome (146444641).

The spelling of 106024040 in words is "one hundred six million, twenty-four thousand, forty".