103545200 has 120 divisors (see below), whose sum is σ = 275245776. Its totient is φ = 37120000.

The previous prime is 103545163. The next prime is 103545209. The reversal of 103545200 is 2545301.

It is a super-3 number, since 3×103545200³ (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103545209) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 444284 + ... + 444516.

Almost surely, 2^103545200 is an apocalyptic number.

103545200 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 103545200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137622888).

103545200 is an abundant number, since it is smaller than the sum of its proper divisors (171700576).

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

103545200 is a wasteful number, since it uses less digits than its factorization.

103545200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 363 (or 352 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 20.

The square root of 103545200 is about 10175.7161910108. The cubic root of 103545200 is about 469.5804313573.

The spelling of 103545200 in words is "one hundred three million, five hundred forty-five thousand, two hundred".