104729128200 has 240 divisors, whose sum is σ = 364857369360. Its totient is φ = 27841968000.

The previous prime is 104729128199. The next prime is 104729128241. The reversal of 104729128200 is 2821927401.

It is a super-3 number, since 3×104729128200³ (a number of 34 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (36) 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 (36).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 5352435 + ... + 5371965.

It is an arithmetic number, because the mean of its divisors is an integer number (1520239039).

Almost surely, 2^104729128200 is an apocalyptic number.

104729128200 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 104729128200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182428684680).

104729128200 is an abundant number, since it is smaller than the sum of its proper divisors (260128241160).

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

104729128200 is a wasteful number, since it uses less digits than its factorization.

104729128200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19890 (or 19872 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The spelling of 104729128200 in words is "one hundred four billion, seven hundred twenty-nine million, one hundred twenty-eight thousand, two hundred".