105793540 has 24 divisors (see below), whose sum is σ = 223921152. Its totient is φ = 41983200.

The previous prime is 105793517. The next prime is 105793559. The reversal of 105793540 is 45397501.

It is a super-2 number, since 2×105793540² = 22384546211463200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 105793496 and 105793505.

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, 18286 + ... + 23365.

It is an arithmetic number, because the mean of its divisors is an integer number (9330048).

Almost surely, 2^105793540 is an apocalyptic number.

105793540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105793540 is an abundant number, since it is smaller than the sum of its proper divisors (118127612).

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

105793540 is a wasteful number, since it uses less digits than its factorization.

105793540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41787 (or 41785 counting only the distinct ones).

The product of its (nonzero) digits is 18900, while the sum is 34.

The square root of 105793540 is about 10285.5986699851. The cubic root of 105793540 is about 472.9548860631.

The spelling of 105793540 in words is "one hundred five million, seven hundred ninety-three thousand, five hundred forty".