103542000 has 80 divisors (see below), whose sum is σ = 333838752. Its totient is φ = 27609600.

The previous prime is 103541993. The next prime is 103542011. The reversal of 103542000 is 245301.

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

It is a super-3 number, since 3×103542000³ (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2629 + ... + 14628.

Almost surely, 2^103542000 is an apocalyptic number.

103542000 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 103542000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166919376).

103542000 is an abundant number, since it is smaller than the sum of its proper divisors (230296752).

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

103542000 is a wasteful number, since it uses less digits than its factorization.

103542000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17283 (or 17267 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 103542000 is about 10175.5589527062. The cubic root of 103542000 is about 469.5755939438.

Adding to 103542000 its reverse (245301), we get a palindrome (103787301).

The spelling of 103542000 in words is "one hundred three million, five hundred forty-two thousand".