105506280 has 256 divisors, whose sum is σ = 391910400. Its totient is φ = 25032960.

The previous prime is 105506279. The next prime is 105506281. The reversal of 105506280 is 82605501.

It is an interprime number because it is at equal distance from previous prime (105506279) and next prime (105506281).

It is a super-2 number, since 2×105506280² = 22263150238876800, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (105506281) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 985987 + ... + 986093.

It is an arithmetic number, because the mean of its divisors is an integer number (1530900).

Almost surely, 2^105506280 is an apocalyptic number.

105506280 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 105506280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195955200).

105506280 is an abundant number, since it is smaller than the sum of its proper divisors (286404120).

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

105506280 is a wasteful number, since it uses less digits than its factorization.

105506280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 211 counting only the distinct ones).

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

The square root of 105506280 is about 10271.6249931547. The cubic root of 105506280 is about 472.5264283529.

The spelling of 105506280 in words is "one hundred five million, five hundred six thousand, two hundred eighty".