106535440 has 40 divisors (see below), whose sum is σ = 270214848. Its totient is φ = 38739840.

The previous prime is 106535399. The next prime is 106535441. The reversal of 106535440 is 44535601.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×106535440² = 22699599951987200, which contains 22 as substring.

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 106535399 and 106535408.

It is not an unprimeable number, because it can be changed into a prime (106535441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 59652 + ... + 61411.

Almost surely, 2^106535440 is an apocalyptic number.

106535440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106535440 is an abundant number, since it is smaller than the sum of its proper divisors (163679408).

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

106535440 is a wasteful number, since it uses less digits than its factorization.

106535440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121087 (or 121081 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 28.

The square root of 106535440 is about 10321.6006510618. The cubic root of 106535440 is about 474.0578777682.

The spelling of 106535440 in words is "one hundred six million, five hundred thirty-five thousand, four hundred forty".