105276240 has 320 divisors, whose sum is σ = 398545920. Its totient is φ = 25436160.

The previous prime is 105276181. The next prime is 105276247. The reversal of 105276240 is 42672501.

105276240 is a `hidden beast` number, since 10 + 5 + 27 + 624 + 0 = 666.

It is a super-2 number, since 2×105276240² = 22166173417075200, 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 not an unprimeable number, because it can be changed into a prime (105276247) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 1725810 + ... + 1725870.

It is an arithmetic number, because the mean of its divisors is an integer number (1245456).

Almost surely, 2^105276240 is an apocalyptic number.

105276240 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 105276240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199272960).

105276240 is an abundant number, since it is smaller than the sum of its proper divisors (293269680).

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

105276240 is a wasteful number, since it uses less digits than its factorization.

105276240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 105276240 is about 10260.4210439923. The cubic root of 105276240 is about 472.1827550457.

The spelling of 105276240 in words is "one hundred five million, two hundred seventy-six thousand, two hundred forty".