104892228000 has 288 divisors, whose sum is σ = 425443898880. Its totient is φ = 23975308800.

The previous prime is 104892227941. The next prime is 104892228013. The reversal of 104892228000 is 822298401.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×104892228000² (a number of 23 digits) contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 43881 + ... + 460119.

It is an arithmetic number, because the mean of its divisors is an integer number (1477235760).

Almost surely, 2^104892228000 is an apocalyptic number.

104892228000 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 104892228000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212721949440).

104892228000 is an abundant number, since it is smaller than the sum of its proper divisors (320551670880).

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

104892228000 is a wasteful number, since it uses less digits than its factorization.

104892228000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 416277 (or 416256 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 104892228000 in words is "one hundred four billion, eight hundred ninety-two million, two hundred twenty-eight thousand".