103553045200 has 240 divisors, whose sum is σ = 288351294336. Its totient is φ = 35319398400.

The previous prime is 103553045177. The next prime is 103553045221. The reversal of 103553045200 is 2540355301.

It is a super-3 number, since 3×103553045200³ (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23410189 + ... + 23414611.

Almost surely, 2^103553045200 is an apocalyptic number.

103553045200 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 103553045200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144175647168).

103553045200 is an abundant number, since it is smaller than the sum of its proper divisors (184798249136).

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

103553045200 is a wasteful number, since it uses less digits than its factorization.

103553045200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4782 (or 4771 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 28.

The spelling of 103553045200 in words is "one hundred three billion, five hundred fifty-three million, forty-five thousand, two hundred".