100537007 has 2 divisors, whose sum is σ = 100537008. Its totient is φ = 100537006.

The previous prime is 100536907. The next prime is 100537027. The reversal of 100537007 is 700735001.

It is a happy number.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 100537007 - 2¹⁰ = 100535983 is a prime.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100537027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50268503 + 50268504.

It is an arithmetic number, because the mean of its divisors is an integer number (50268504).

Almost surely, 2^100537007 is an apocalyptic number.

100537007 is a deficient number, since it is larger than the sum of its proper divisors (1).

100537007 is an equidigital number, since it uses as much as digits as its factorization.

100537007 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 735, while the sum is 23.

The square root of 100537007 is about 10026.8143993992. The cubic root of 100537007 is about 464.9882557638.

The spelling of 100537007 in words is "one hundred million, five hundred thirty-seven thousand, seven".