106504560 has 120 divisors (see below), whose sum is σ = 364557024. Its totient is φ = 27855360.

The previous prime is 106504549. The next prime is 106504583. The reversal of 106504560 is 65405601.

It is a happy number.

106504560 is a `hidden beast` number, since 1 + 0 + 650 + 4 + 5 + 6 + 0 = 666.

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

It is a super-2 number, since 2×106504560² = 22686442601587200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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, 36765 + ... + 39555.

Almost surely, 2^106504560 is an apocalyptic number.

106504560 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 106504560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182278512).

106504560 is an abundant number, since it is smaller than the sum of its proper divisors (258052464).

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

106504560 is a wasteful number, since it uses less digits than its factorization.

106504560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2863 (or 2854 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 106504560 is about 10320.1046506322. The cubic root of 106504560 is about 474.0120704078.

The spelling of 106504560 in words is "one hundred six million, five hundred four thousand, five hundred sixty".