106306560 has 176 divisors, whose sum is σ = 378285600. Its totient is φ = 28311552.

The previous prime is 106306537. The next prime is 106306561. The reversal of 106306560 is 65603601.

106306560 is a `hidden beast` number, since 1 + 0 + 6 + 3 + 0 + 656 + 0 = 666.

It is a super-2 number, since 2×106306560² = 22602169398067200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106306561) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 137856 + ... + 138624.

It is an arithmetic number, because the mean of its divisors is an integer number (2149350).

Almost surely, 2^106306560 is an apocalyptic number.

106306560 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 106306560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189142800).

106306560 is an abundant number, since it is smaller than the sum of its proper divisors (271979040).

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

106306560 is an equidigital number, since it uses as much as digits as its factorization.

106306560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 803 (or 779 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 106306560 is about 10310.5072620119. The cubic root of 106306560 is about 473.7181468084.

The spelling of 106306560 in words is "one hundred six million, three hundred six thousand, five hundred sixty".