105353540 has 24 divisors (see below), whose sum is σ = 222528600. Its totient is φ = 41896448.

The previous prime is 105353503. The next prime is 105353551. The reversal of 105353540 is 45353501.

It can be written as a sum of positive squares in 4 ways, for example, as 11999296 + 93354244 = 3464^2 + 9662^2 .

It is a super-2 number, since 2×105353540² = 22198736781063200, which contains 22 as substring.

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 7 ways as a sum of consecutive naturals, for example, 11765 + ... + 18684.

It is an arithmetic number, because the mean of its divisors is an integer number (9272025).

Almost surely, 2^105353540 is an apocalyptic number.

105353540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105353540 is an abundant number, since it is smaller than the sum of its proper divisors (117175060).

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

105353540 is a wasteful number, since it uses less digits than its factorization.

105353540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30631 (or 30629 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 26.

The square root of 105353540 is about 10264.1872547221. The cubic root of 105353540 is about 472.2982948776.

The spelling of 105353540 in words is "one hundred five million, three hundred fifty-three thousand, five hundred forty".