19740105 has 96 divisors (see below), whose sum is σ = 44448768. Its totient is φ = 8164800.

The previous prime is 19740067. The next prime is 19740121. The reversal of 19740105 is 50104791.

It is not a de Polignac number, because 19740105 - 2⁷ = 19739977 is a prime.

It is a super-2 number, since 2×19740105² = 779343490822050, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 93450 + ... + 93660.

It is an arithmetic number, because the mean of its divisors is an integer number (463008).

Almost surely, 2^19740105 is an apocalyptic number.

19740105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

19740105 is an abundant number, since it is smaller than the sum of its proper divisors (24708663).

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

19740105 is a wasteful number, since it uses less digits than its factorization.

19740105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

The square root of 19740105 is about 4442.9837947037. The cubic root of 19740105 is about 270.2608590025.

Adding to 19740105 its reverse (50104791), we get a palindrome (69844896).

The spelling of 19740105 in words is "nineteen million, seven hundred forty thousand, one hundred five".