106295280 has 320 divisors, whose sum is σ = 421306368. Its totient is φ = 21565440.

The previous prime is 106295261. The next prime is 106295297. The reversal of 106295280 is 82592601.

It is a super-2 number, since 2×106295280² = 22597373100556800, 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 (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 676962 + ... + 677118.

Almost surely, 2^106295280 is an apocalyptic number.

106295280 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 106295280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210653184).

106295280 is an abundant number, since it is smaller than the sum of its proper divisors (315011088).

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

106295280 is a wasteful number, since it uses less digits than its factorization.

106295280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 106295280 is about 10309.9602327070. The cubic root of 106295280 is about 473.7013910858.

The spelling of 106295280 in words is "one hundred six million, two hundred ninety-five thousand, two hundred eighty".