104190643200 has 1056 divisors, whose sum is σ = 419608143360. Its totient is φ = 22295347200.

The previous prime is 104190643181. The next prime is 104190643217. The reversal of 104190643200 is 2346091401.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 639206319 + ... + 639206481.

Almost surely, 2^104190643200 is an apocalyptic number.

104190643200 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 104190643200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209804071680).

104190643200 is an abundant number, since it is smaller than the sum of its proper divisors (315417500160).

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

104190643200 is a wasteful number, since it uses less digits than its factorization.

104190643200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 273 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The spelling of 104190643200 in words is "one hundred four billion, one hundred ninety million, six hundred forty-three thousand, two hundred".