103042000 has 40 divisors (see below), whose sum is σ = 249160392. Its totient is φ = 41216000.

The previous prime is 103041989. The next prime is 103042007. The reversal of 103042000 is 240301.

It can be written as a sum of positive squares in 4 ways, for example, as 33085504 + 69956496 = 5752^2 + 8364^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103042007) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 23761 + ... + 27760.

Almost surely, 2^103042000 is an apocalyptic number.

103042000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103042000 is an abundant number, since it is smaller than the sum of its proper divisors (146118392).

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

103042000 is an equidigital number, since it uses as much as digits as its factorization.

103042000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51544 (or 51528 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

The square root of 103042000 is about 10150.9605456824. The cubic root of 103042000 is about 468.8185203538.

Adding to 103042000 its reverse (240301), we get a palindrome (103282301).

The spelling of 103042000 in words is "one hundred three million, forty-two thousand".