103542400 has 192 divisors, whose sum is σ = 292168800. Its totient is φ = 35942400.

The previous prime is 103542379. The next prime is 103542407. The reversal of 103542400 is 4245301.

It is a super-3 number, since 3×103542400³ (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is not an unprimeable number, because it can be changed into a prime (103542407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 790335 + ... + 790465.

Almost surely, 2^103542400 is an apocalyptic number.

103542400 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 103542400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146084400).

103542400 is an abundant number, since it is smaller than the sum of its proper divisors (188626400).

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

103542400 is a wasteful number, since it uses less digits than its factorization.

103542400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

The square root of 103542400 is about 10175.5786076272. The cubic root of 103542400 is about 469.5761986259.

Adding to 103542400 its reverse (4245301), we get a palindrome (107787701).

The spelling of 103542400 in words is "one hundred three million, five hundred forty-two thousand, four hundred".