105052680 has 128 divisors (see below), whose sum is σ = 352598400. Its totient is φ = 27820800.

The previous prime is 105052679. The next prime is 105052709. The reversal of 105052680 is 86250501.

105052680 is a `hidden beast` number, since 10 + 50 + 526 + 80 = 666.

It is a super-2 number, since 2×105052680² = 22072131150364800, which contains 22 as substring.

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

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 31 ways as a sum of consecutive naturals, for example, 227650 + ... + 228110.

It is an arithmetic number, because the mean of its divisors is an integer number (2754675).

Almost surely, 2^105052680 is an apocalyptic number.

105052680 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 105052680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176299200).

105052680 is an abundant number, since it is smaller than the sum of its proper divisors (247545720).

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

105052680 is a wasteful number, since it uses less digits than its factorization.

105052680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 692 (or 682 counting only the distinct ones).

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

The square root of 105052680 is about 10249.5209644158. The cubic root of 105052680 is about 471.8482826561.

The spelling of 105052680 in words is "one hundred five million, fifty-two thousand, six hundred eighty".