106733520 has 120 divisors (see below), whose sum is σ = 365340456. Its totient is φ = 27915264.

The previous prime is 106733491. The next prime is 106733533. The reversal of 106733520 is 25337601.

It is a happy number.

106733520 is a `hidden beast` number, since 106 + 7 + 33 + 520 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 30206016 + 76527504 = 5496^2 + 8748^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×106733520² = 22784088583180800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36762 + ... + 39558.

Almost surely, 2^106733520 is an apocalyptic number.

106733520 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 106733520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182670228).

106733520 is an abundant number, since it is smaller than the sum of its proper divisors (258606936).

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

106733520 is a wasteful number, since it uses less digits than its factorization.

106733520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2869 (or 2860 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 27.

The square root of 106733520 is about 10331.1916060056. The cubic root of 106733520 is about 474.3514991456.

The spelling of 106733520 in words is "one hundred six million, seven hundred thirty-three thousand, five hundred twenty".