105373540 has 24 divisors (see below), whose sum is σ = 225461880. Its totient is φ = 41353728.

The previous prime is 105373523. The next prime is 105373549. The reversal of 105373540 is 45373501.

It can be written as a sum of positive squares in 4 ways, for example, as 25664356 + 79709184 = 5066^2 + 8928^2 .

It is a super-2 number, since 2×105373540² = 22207165864263200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105373499 and 105373508.

It is not an unprimeable number, because it can be changed into a prime (105373549) 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, 48645 + ... + 50764.

It is an arithmetic number, because the mean of its divisors is an integer number (9394245).

Almost surely, 2^105373540 is an apocalyptic number.

105373540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105373540 is an abundant number, since it is smaller than the sum of its proper divisors (120088340).

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

105373540 is a wasteful number, since it uses less digits than its factorization.

105373540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99471 (or 99469 counting only the distinct ones).

The product of its (nonzero) digits is 6300, while the sum is 28.

The square root of 105373540 is about 10265.1614697481. The cubic root of 105373540 is about 472.3281795504.

The spelling of 105373540 in words is "one hundred five million, three hundred seventy-three thousand, five hundred forty".