106031040 has 224 divisors, whose sum is σ = 365394240. Its totient is φ = 25952256.

The previous prime is 106030999. The next prime is 106031041. The reversal of 106031040 is 40130601.

It is a super-2 number, since 2×106031040² = 22485162886963200, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106031041) 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 31 ways as a sum of consecutive naturals, for example, 1191316 + ... + 1191404.

Almost surely, 2^106031040 is an apocalyptic number.

106031040 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 106031040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182697120).

106031040 is an abundant number, since it is smaller than the sum of its proper divisors (259363200).

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

106031040 is a wasteful number, since it uses less digits than its factorization.

106031040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 106031040 is about 10297.1374663059. The cubic root of 106031040 is about 473.3085397756.

Adding to 106031040 its reverse (40130601), we get a palindrome (146161641).

The spelling of 106031040 in words is "one hundred six million, thirty-one thousand, forty".