103992000 has 224 divisors, whose sum is σ = 393070080. Its totient is φ = 23731200.

The previous prime is 103991981. The next prime is 103992047. The reversal of 103992000 is 299301.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 167691 + ... + 168309.

Almost surely, 2^103992000 is an apocalyptic number.

103992000 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 103992000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196535040).

103992000 is an abundant number, since it is smaller than the sum of its proper divisors (289078080).

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

103992000 is an equidigital number, since it uses as much as digits as its factorization.

103992000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 656 (or 636 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 24.

The square root of 103992000 is about 10197.6467873721. The cubic root of 103992000 is about 470.2548791084.

It can be divided in two parts, 1039 and 92000, that added together give a palindrome (93039).

The spelling of 103992000 in words is "one hundred three million, nine hundred ninety-two thousand".