100228725320800 has 144 divisors (see below), whose sum is σ = 245400394932000. Its totient is φ = 39974125363200.

The previous prime is 100228725320767. The next prime is 100228725320837. The reversal of 100228725320800 is 8023527822001.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 543916680 + ... + 544100920.

It is an arithmetic number, because the mean of its divisors is an integer number (1704169409250).

Almost surely, 2^{100228725320800} is an apocalyptic number.

100228725320800 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 100228725320800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122700197466000).

100228725320800 is an abundant number, since it is smaller than the sum of its proper divisors (145171669611200).

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

100228725320800 is a wasteful number, since it uses less digits than its factorization.

100228725320800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186249 (or 186236 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 40.

The spelling of 100228725320800 in words is "one hundred trillion, two hundred twenty-eight billion, seven hundred twenty-five million, three hundred twenty thousand, eight hundred".