103446201600 has 1080 divisors, whose sum is σ = 452662277760. Its totient is φ = 22806282240.

The previous prime is 103446201559. The next prime is 103446201673. The reversal of 103446201600 is 6102644301.

103446201600 is a `hidden beast` number, since 1 + 0 + 34 + 4 + 6 + 20 + 1 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (1080).

It is a super-2 number, since 2×103446201600² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 105234709 + ... + 105235691.

Almost surely, 2^103446201600 is an apocalyptic number.

103446201600 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 103446201600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226331138880).

103446201600 is an abundant number, since it is smaller than the sum of its proper divisors (349216076160).

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

103446201600 is an equidigital number, since it uses as much as digits as its factorization.

103446201600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1057 (or 1029 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 103446201600 its reverse (6102644301), we get a palindrome (109548845901).

The spelling of 103446201600 in words is "one hundred three billion, four hundred forty-six million, two hundred one thousand, six hundred".