106505280 has 280 divisors, whose sum is σ = 433718208. Its totient is φ = 24302592.

The previous prime is 106505263. The next prime is 106505297. The reversal of 106505280 is 82505601.

106505280 is a `hidden beast` number, since 1 + 0 + 650 + 5 + 2 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (106505263) and next prime (106505297).

It is a tau number, because it is divible by the number of its divisors (280).

It is a super-2 number, since 2×106505280² = 22686749335756800, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 181147 + ... + 181733.

Almost surely, 2^106505280 is an apocalyptic number.

106505280 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 106505280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216859104).

106505280 is an abundant number, since it is smaller than the sum of its proper divisors (327212928).

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

106505280 is an equidigital number, since it uses as much as digits as its factorization.

106505280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 623 (or 604 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 106505280 is about 10320.1395339404. The cubic root of 106505280 is about 474.0131385559.

The spelling of 106505280 in words is "one hundred six million, five hundred five thousand, two hundred eighty".