100065037 has 2 divisors, whose sum is σ = 100065038. Its totient is φ = 100065036.

The previous prime is 100065029. The next prime is 100065047. The reversal of 100065037 is 730560001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 52330756 + 47734281 = 7234^2 + 6909^2 .

It is an emirp because it is prime and its reverse (730560001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 100065037 - 2³ = 100065029 is a prime.

It is a super-2 number, since 2×100065037² = 20026023259622738, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100064999 and 100065017.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100065047) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50032518 + 50032519.

It is an arithmetic number, because the mean of its divisors is an integer number (50032519).

Almost surely, 2^100065037 is an apocalyptic number.

It is an amenable number.

100065037 is a deficient number, since it is larger than the sum of its proper divisors (1).

100065037 is an equidigital number, since it uses as much as digits as its factorization.

100065037 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 630, while the sum is 22.

The square root of 100065037 is about 10003.2513214454. The cubic root of 100065037 is about 464.2594865590.

The spelling of 100065037 in words is "one hundred million, sixty-five thousand, thirty-seven".