105334040 has 64 divisors (see below), whose sum is σ = 286804800. Its totient is φ = 33988608.

The previous prime is 105334039. The next prime is 105334049. The reversal of 105334040 is 40433501.

It is a super-2 number, since 2×105334040² = 22190519965443200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105334049) 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 15 ways as a sum of consecutive naturals, for example, 6305 + ... + 15824.

It is an arithmetic number, because the mean of its divisors is an integer number (4481325).

Almost surely, 2^105334040 is an apocalyptic number.

105334040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105334040 is an abundant number, since it is smaller than the sum of its proper divisors (181470760).

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

105334040 is a wasteful number, since it uses less digits than its factorization.

105334040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22164 (or 22160 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 105334040 is about 10263.2373060356. The cubic root of 105334040 is about 472.2691536798.

Adding to 105334040 its reverse (40433501), we get a palindrome (145767541).

The spelling of 105334040 in words is "one hundred five million, three hundred thirty-four thousand, forty".