103982000 has 40 divisors (see below), whose sum is σ = 251433312. Its totient is φ = 41592000.

The previous prime is 103981991. The next prime is 103982009. The reversal of 103982000 is 289301.

It is an interprime number because it is at equal distance from previous prime (103981991) and next prime (103982009).

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (103982009) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23996 + ... + 27995.

Almost surely, 2^103982000 is an apocalyptic number.

103982000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103982000 is an abundant number, since it is smaller than the sum of its proper divisors (147451312).

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

103982000 is an equidigital number, since it uses as much as digits as its factorization.

103982000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52014 (or 51998 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 23.

The square root of 103982000 is about 10197.1564663881. The cubic root of 103982000 is about 470.2398051939.

The spelling of 103982000 in words is "one hundred three million, nine hundred eighty-two thousand".