104145553200 has 240 divisors, whose sum is σ = 360076398080. Its totient is φ = 25578685440.

The previous prime is 104145553181. The next prime is 104145553201. The reversal of 104145553200 is 2355541401.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a zygodrome in base 2.

It is not an unprimeable number, because it can be changed into a prime (104145553201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7215591 + ... + 7230009.

Almost surely, 2^104145553200 is an apocalyptic number.

104145553200 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 104145553200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180038199040).

104145553200 is an abundant number, since it is smaller than the sum of its proper divisors (255930844880).

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

104145553200 is a wasteful number, since it uses less digits than its factorization.

104145553200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14916 (or 14905 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 30.

The spelling of 104145553200 in words is "one hundred four billion, one hundred forty-five million, five hundred fifty-three thousand, two hundred".