103554385200 has 900 divisors, whose sum is σ = 455212207560. Its totient is φ = 22417274880.

The previous prime is 103554385199. The next prime is 103554385217. The reversal of 103554385200 is 2583455301.

103554385200 is a `hidden beast` number, since 1 + 0 + 3 + 554 + 3 + 85 + 20 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (900).

It is a super-3 number, since 3×103554385200³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 179 ways as a sum of consecutive naturals, for example, 30162684 + ... + 30166116.

Almost surely, 2^103554385200 is an apocalyptic number.

103554385200 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 103554385200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227606103780).

103554385200 is an abundant number, since it is smaller than the sum of its proper divisors (351657822360).

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

103554385200 is a wasteful number, since it uses less digits than its factorization.

103554385200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3496 (or 3469 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The spelling of 103554385200 in words is "one hundred three billion, five hundred fifty-four million, three hundred eighty-five thousand, two hundred".