105533740 has 36 divisors (see below), whose sum is σ = 239987664. Its totient is φ = 38965056.

The previous prime is 105533737. The next prime is 105533741. The reversal of 105533740 is 47335501.

It is a super-2 number, since 2×105533740² = 22274740556775200, which contains 22 as substring.

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 105533699 and 105533708.

It is not an unprimeable number, because it can be changed into a prime (105533741) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 12232 + ... + 18991.

It is an arithmetic number, because the mean of its divisors is an integer number (6666324).

Almost surely, 2^105533740 is an apocalyptic number.

105533740 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105533740 is an abundant number, since it is smaller than the sum of its proper divisors (134453924).

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

105533740 is a wasteful number, since it uses less digits than its factorization.

105533740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31258 (or 31243 counting only the distinct ones).

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

The square root of 105533740 is about 10272.9615982929. The cubic root of 105533740 is about 472.5674194364.

The spelling of 105533740 in words is "one hundred five million, five hundred thirty-three thousand, seven hundred forty".