106533540 has 72 divisors (see below), whose sum is σ = 325223808. Its totient is φ = 28226880.

The previous prime is 106533521. The next prime is 106533541. The reversal of 106533540 is 45335601.

106533540 is a `hidden beast` number, since 1 + 0 + 653 + 3 + 5 + 4 + 0 = 666.

It is a super-2 number, since 2×106533540² = 22698790289863200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106533541) 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, 27525 + ... + 31155.

Almost surely, 2^106533540 is an apocalyptic number.

106533540 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 106533540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162611904).

106533540 is an abundant number, since it is smaller than the sum of its proper divisors (218690268).

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

106533540 is a wasteful number, since it uses less digits than its factorization.

106533540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3809 (or 3804 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 106533540 is about 10321.5086106635. The cubic root of 106533540 is about 474.0550595657.

The spelling of 106533540 in words is "one hundred six million, five hundred thirty-three thousand, five hundred forty".