103355355600 has 360 divisors, whose sum is σ = 434024809920. Its totient is φ = 22234337280.

The previous prime is 103355355577. The next prime is 103355355611. The reversal of 103355355600 is 6553553301.

103355355600 is a `hidden beast` number, since 10 + 3 + 3 + 5 + 5 + 35 + 5 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 307771 + ... + 549029.

It is an arithmetic number, because the mean of its divisors is an integer number (1205624472).

Almost surely, 2^103355355600 is an apocalyptic number.

103355355600 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 103355355600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217012404960).

103355355600 is an abundant number, since it is smaller than the sum of its proper divisors (330669454320).

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

103355355600 is a wasteful number, since it uses less digits than its factorization.

103355355600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241307 (or 241293 counting only the distinct ones).

The product of its (nonzero) digits is 101250, while the sum is 36.

The spelling of 103355355600 in words is "one hundred three billion, three hundred fifty-five million, three hundred fifty-five thousand, six hundred".