100864721 has 2 divisors, whose sum is σ = 100864722. Its totient is φ = 100864720.

The previous prime is 100864703. The next prime is 100864739. The reversal of 100864721 is 127468001.

It is a balanced prime because it is at equal distance from previous prime (100864703) and next prime (100864739).

It can be written as a sum of positive squares in only one way, i.e., 58354321 + 42510400 = 7639^2 + 6520^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100864721 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (100864321) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50432360 + 50432361.

It is an arithmetic number, because the mean of its divisors is an integer number (50432361).

Almost surely, 2^100864721 is an apocalyptic number.

It is an amenable number.

100864721 is a deficient number, since it is larger than the sum of its proper divisors (1).

100864721 is an equidigital number, since it uses as much as digits as its factorization.

100864721 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2688, while the sum is 29.

The square root of 100864721 is about 10043.1429841459. The cubic root of 100864721 is about 465.4929385461.

The spelling of 100864721 in words is "one hundred million, eight hundred sixty-four thousand, seven hundred twenty-one".