103242000 has 80 divisors (see below), whose sum is σ = 332871552. Its totient is φ = 27529600.

The previous prime is 103241989. The next prime is 103242031. The reversal of 103242000 is 242301.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×103242000³ (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

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 15 ways as a sum of consecutive naturals, for example, 2604 + ... + 14603.

Almost surely, 2^103242000 is an apocalyptic number.

103242000 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 103242000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166435776).

103242000 is an abundant number, since it is smaller than the sum of its proper divisors (229629552).

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

103242000 is a wasteful number, since it uses less digits than its factorization.

103242000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17233 (or 17217 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 103242000 is about 10160.8070545602. The cubic root of 103242000 is about 469.1216430470.

Adding to 103242000 its reverse (242301), we get a palindrome (103484301).

The spelling of 103242000 in words is "one hundred three million, two hundred forty-two thousand".