106653520 has 20 divisors (see below), whose sum is σ = 247969620. Its totient is φ = 42661376.

The previous prime is 106653497. The next prime is 106653523. The reversal of 106653520 is 25356601.

It can be written as a sum of positive squares in 2 ways, for example, as 67765824 + 38887696 = 8232^2 + 6236^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×106653520² = 22749946656780800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106653523) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 666505 + ... + 666664.

It is an arithmetic number, because the mean of its divisors is an integer number (12398481).

Almost surely, 2^106653520 is an apocalyptic number.

106653520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106653520 is an abundant number, since it is smaller than the sum of its proper divisors (141316100).

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

106653520 is a wasteful number, since it uses less digits than its factorization.

106653520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1333182 (or 1333176 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 28.

The square root of 106653520 is about 10327.3191100111. The cubic root of 106653520 is about 474.2329559271.

The spelling of 106653520 in words is "one hundred six million, six hundred fifty-three thousand, five hundred twenty".