106828560 has 120 divisors (see below), whose sum is σ = 374422464. Its totient is φ = 27244800.

The previous prime is 106828541. The next prime is 106828567. The reversal of 106828560 is 65828601.

It is a happy number.

106828560 is a `hidden beast` number, since 10 + 6 + 82 + 8 + 560 = 666.

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

It is a super-2 number, since 2×106828560² = 22824682463347200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (106828567) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13335 + ... + 19785.

Almost surely, 2^106828560 is an apocalyptic number.

106828560 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 106828560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187211232).

106828560 is an abundant number, since it is smaller than the sum of its proper divisors (267593904).

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

106828560 is a wasteful number, since it uses less digits than its factorization.

106828560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6493 (or 6484 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 106828560 is about 10335.7902455497. The cubic root of 106828560 is about 474.4922515291.

The spelling of 106828560 in words is "one hundred six million, eight hundred twenty-eight thousand, five hundred sixty".