106653330 has 192 divisors, whose sum is σ = 337379328. Its totient is φ = 22861440.

The previous prime is 106653319. The next prime is 106653367. The reversal of 106653330 is 33356601.

106653330 is a `hidden beast` number, since 1 + 0 + 6 + 653 + 3 + 3 + 0 = 666.

It is a super-2 number, since 2×106653330² = 22749865600177800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106653294 and 106653303.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 839727 + ... + 839853.

It is an arithmetic number, because the mean of its divisors is an integer number (1757184).

Almost surely, 2^106653330 is an apocalyptic number.

106653330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 106653330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168689664).

106653330 is an abundant number, since it is smaller than the sum of its proper divisors (230725998).

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

106653330 is a wasteful number, since it uses less digits than its factorization.

106653330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 27.

The square root of 106653330 is about 10327.3099111046. The cubic root of 106653330 is about 474.2326743164.

The spelling of 106653330 in words is "one hundred six million, six hundred fifty-three thousand, three hundred thirty".