106036440 has 128 divisors (see below), whose sum is σ = 336061440. Its totient is φ = 26712576.

The previous prime is 106036391. The next prime is 106036451. The reversal of 106036440 is 44630601.

It is a super-2 number, since 2×106036440² = 22487453215747200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 106036440.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 284094 + ... + 284466.

It is an arithmetic number, because the mean of its divisors is an integer number (2625480).

Almost surely, 2^106036440 is an apocalyptic number.

106036440 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 106036440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168030720).

106036440 is an abundant number, since it is smaller than the sum of its proper divisors (230025000).

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

106036440 is a wasteful number, since it uses less digits than its factorization.

106036440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 513 (or 509 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 106036440 is about 10297.3996717618. The cubic root of 106036440 is about 473.3165746012.

The spelling of 106036440 in words is "one hundred six million, thirty-six thousand, four hundred forty".