105153340 has 24 divisors (see below), whose sum is σ = 224567280. Its totient is φ = 41347968.

The previous prime is 105153337. The next prime is 105153341. The reversal of 105153340 is 43351501.

It is a happy number.

It is a super-2 number, since 2×105153340² = 22114449826311200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105153341) 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 7 ways as a sum of consecutive naturals, for example, 43377 + ... + 45736.

It is an arithmetic number, because the mean of its divisors is an integer number (9356970).

Almost surely, 2^105153340 is an apocalyptic number.

105153340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105153340 is an abundant number, since it is smaller than the sum of its proper divisors (119413940).

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

105153340 is a wasteful number, since it uses less digits than its factorization.

105153340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89181 (or 89179 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 22.

The square root of 105153340 is about 10254.4302620867. The cubic root of 105153340 is about 471.9989406756.

The spelling of 105153340 in words is "one hundred five million, one hundred fifty-three thousand, three hundred forty".