100083521 has 2 divisors, whose sum is σ = 100083522. Its totient is φ = 100083520.

The previous prime is 100083499. The next prime is 100083523. The reversal of 100083521 is 125380001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 100000000 + 83521 = 10000^2 + 289^2 .

It is an emirp because it is prime and its reverse (125380001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 100083521 - 2¹⁴ = 100067137 is a prime.

It is a super-2 number, since 2×100083521² = 20033422351514882, which contains 22 as substring.

Together with 100083523, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 100083493 and 100083502.

It is not a weakly prime, because it can be changed into another prime (100083523) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50041760 + 50041761.

It is an arithmetic number, because the mean of its divisors is an integer number (50041761).

Almost surely, 2^100083521 is an apocalyptic number.

It is an amenable number.

100083521 is a deficient number, since it is larger than the sum of its proper divisors (1).

100083521 is an equidigital number, since it uses as much as digits as its factorization.

100083521 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 240, while the sum is 20.

The square root of 100083521 is about 10004.1751783943. The cubic root of 100083521 is about 464.2880707821.

The spelling of 100083521 in words is "one hundred million, eighty-three thousand, five hundred twenty-one".