106033560 has 32 divisors (see below), whose sum is σ = 318101040. Its totient is φ = 28275584.

The previous prime is 106033531. The next prime is 106033567. The reversal of 106033560 is 65330601.

It is a super-2 number, since 2×106033560² = 22486231692547200, 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 106033560.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106033567) 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 7 ways as a sum of consecutive naturals, for example, 441687 + ... + 441926.

Almost surely, 2^106033560 is an apocalyptic number.

106033560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106033560 is an abundant number, since it is smaller than the sum of its proper divisors (212067480).

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

106033560 is a wasteful number, since it uses less digits than its factorization.

106033560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 883627 (or 883623 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 24.

The square root of 106033560 is about 10297.2598296828. The cubic root of 106033560 is about 473.3122893948.

The spelling of 106033560 in words is "one hundred six million, thirty-three thousand, five hundred sixty".