104628955200 has 1008 divisors, whose sum is σ = 447798285504. Its totient is φ = 21134131200.

The previous prime is 104628955187. The next prime is 104628955219. The reversal of 104628955200 is 2559826401.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 95725854 + ... + 95726946.

Almost surely, 2^104628955200 is an apocalyptic number.

104628955200 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 104628955200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223899142752).

104628955200 is an abundant number, since it is smaller than the sum of its proper divisors (343169330304).

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

104628955200 is a wasteful number, since it uses less digits than its factorization.

104628955200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1180 (or 1158 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 42.

The spelling of 104628955200 in words is "one hundred four billion, six hundred twenty-eight million, nine hundred fifty-five thousand, two hundred".