105240576 has 96 divisors (see below), whose sum is σ = 320785920. Its totient is φ = 30056448.

The previous prime is 105240547. The next prime is 105240593. The reversal of 105240576 is 675042501.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×105240576² = 22151157673623552, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 41785 + ... + 44231.

It is an arithmetic number, because the mean of its divisors is an integer number (3341520).

Almost surely, 2^105240576 is an apocalyptic number.

105240576 is a gapful number since it is divisible by the number (16) 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 105240576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160392960).

105240576 is an abundant number, since it is smaller than the sum of its proper divisors (215545344).

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

105240576 is an equidigital number, since it uses as much as digits as its factorization.

105240576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2479 (or 2459 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 30.

The square root of 105240576 is about 10258.6829564033. The cubic root of 105240576 is about 472.1294292186.

The spelling of 105240576 in words is "one hundred five million, two hundred forty thousand, five hundred seventy-six".