100223322144 has 96 divisors (see below), whose sum is σ = 287145492480. Its totient is φ = 30355641600.

The previous prime is 100223322139. The next prime is 100223322179. The reversal of 100223322144 is 441223322001.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2206737 + ... + 2251695.

It is an arithmetic number, because the mean of its divisors is an integer number (2991098880).

Almost surely, 2^100223322144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100223322144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143572746240).

100223322144 is an abundant number, since it is smaller than the sum of its proper divisors (186922170336).

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

100223322144 is a wasteful number, since it uses less digits than its factorization.

100223322144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47094 (or 47086 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 100223322144 its reverse (441223322001), we get a palindrome (541446644145).

The spelling of 100223322144 in words is "one hundred billion, two hundred twenty-three million, three hundred twenty-two thousand, one hundred forty-four".