100223721 has 48 divisors (see below), whose sum is σ = 169238160. Its totient is φ = 56586240.

The previous prime is 100223699. The next prime is 100223723. The reversal of 100223721 is 127322001.

It can be written as a sum of positive squares in 8 ways, for example, as 3600 + 100220121 = 60^2 + 10011^2 .

It is not a de Polignac number, because 100223721 - 2⁷ = 100223593 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100223694 and 100223703.

It is not an unprimeable number, because it can be changed into a prime (100223723) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 80935 + ... + 82163.

It is an arithmetic number, because the mean of its divisors is an integer number (3525795).

Almost surely, 2^100223721 is an apocalyptic number.

It is an amenable number.

100223721 is a deficient number, since it is larger than the sum of its proper divisors (69014439).

100223721 is a wasteful number, since it uses less digits than its factorization.

100223721 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1306 (or 1303 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 100223721 is about 10011.1798006029. The cubic root of 100223721 is about 464.5047658506.

Adding to 100223721 its reverse (127322001), we get a palindrome (227545722).

The spelling of 100223721 in words is "one hundred million, two hundred twenty-three thousand, seven hundred twenty-one".