105054340 has 48 divisors (see below), whose sum is σ = 232025472. Its totient is φ = 39877376.

The previous prime is 105054311. The next prime is 105054343. The reversal of 105054340 is 43450501.

It is a super-2 number, since 2×105054340² = 22072828705671200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105054343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 62187 + ... + 63853.

It is an arithmetic number, because the mean of its divisors is an integer number (4833864).

Almost surely, 2^105054340 is an apocalyptic number.

105054340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105054340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116012736).

105054340 is an abundant number, since it is smaller than the sum of its proper divisors (126971132).

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

105054340 is a wasteful number, since it uses less digits than its factorization.

105054340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1836 (or 1834 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 22.

The square root of 105054340 is about 10249.6019434903. The cubic root of 105054340 is about 471.8507679617.

The spelling of 105054340 in words is "one hundred five million, fifty-four thousand, three hundred forty".