105261240 has 64 divisors (see below), whose sum is σ = 360898560. Its totient is φ = 24059520.

The previous prime is 105261239. The next prime is 105261241. The reversal of 105261240 is 42162501.

It is an interprime number because it is at equal distance from previous prime (105261239) and next prime (105261241).

It is a super-2 number, since 2×105261240² = 22159857292675200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105261241) 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 15 ways as a sum of consecutive naturals, for example, 61816 + ... + 63495.

It is an arithmetic number, because the mean of its divisors is an integer number (5639040).

Almost surely, 2^105261240 is an apocalyptic number.

105261240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105261240 is an abundant number, since it is smaller than the sum of its proper divisors (255637320).

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

105261240 is a wasteful number, since it uses less digits than its factorization.

105261240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125332 (or 125328 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 105261240 is about 10259.6900537979. The cubic root of 105261240 is about 472.1603280868.

It can be divided in two parts, 105261 and 240, that added together give a palindrome (105501).

The spelling of 105261240 in words is "one hundred five million, two hundred sixty-one thousand, two hundred forty".