105360540 has 24 divisors (see below), whose sum is σ = 295009680. Its totient is φ = 28096128.

The previous prime is 105360533. The next prime is 105360547. The reversal of 105360540 is 45063501.

It is an interprime number because it is at equal distance from previous prime (105360533) and next prime (105360547).

It is a super-2 number, since 2×105360540² = 22201686778183200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105360540.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105360547) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 877945 + ... + 878064.

It is an arithmetic number, because the mean of its divisors is an integer number (12292070).

Almost surely, 2^105360540 is an apocalyptic number.

105360540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105360540 is an abundant number, since it is smaller than the sum of its proper divisors (189649140).

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

105360540 is a wasteful number, since it uses less digits than its factorization.

105360540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1756021 (or 1756019 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 105360540 is about 10264.5282404989. The cubic root of 105360540 is about 472.3087549433.

The spelling of 105360540 in words is "one hundred five million, three hundred sixty thousand, five hundred forty".