105403940 has 24 divisors (see below), whose sum is σ = 230973120. Its totient is φ = 40328288.

The previous prime is 105403919. The next prime is 105403957. The reversal of 105403940 is 49304501.

It is a super-4 number, since 4×105403940⁴ (a number of 33 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

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, 114110 + ... + 115029.

It is an arithmetic number, because the mean of its divisors is an integer number (9623880).

Almost surely, 2^105403940 is an apocalyptic number.

105403940 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105403940 is an abundant number, since it is smaller than the sum of its proper divisors (125569180).

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

105403940 is a wasteful number, since it uses less digits than its factorization.

105403940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229171 (or 229169 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 26.

The square root of 105403940 is about 10266.6420995377. The cubic root of 105403940 is about 472.3735970118.

The spelling of 105403940 in words is "one hundred five million, four hundred three thousand, nine hundred forty".