100137673 has 2 divisors, whose sum is σ = 100137674. Its totient is φ = 100137672.

The previous prime is 100137643. The next prime is 100137721. The reversal of 100137673 is 376731001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 83229129 + 16908544 = 9123^2 + 4112^2 .

It is a cyclic number.

It is not a de Polignac number, because 100137673 - 2⁵ = 100137641 is a prime.

It is not a weakly prime, because it can be changed into another prime (100137643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50068836 + 50068837.

It is an arithmetic number, because the mean of its divisors is an integer number (50068837).

Almost surely, 2^100137673 is an apocalyptic number.

It is an amenable number.

100137673 is a deficient number, since it is larger than the sum of its proper divisors (1).

100137673 is an equidigital number, since it uses as much as digits as its factorization.

100137673 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2646, while the sum is 28.

The square root of 100137673 is about 10006.8812823976. The cubic root of 100137673 is about 464.3717928380.

Adding to 100137673 its reverse (376731001), we get a palindrome (476868674).

The spelling of 100137673 in words is "one hundred million, one hundred thirty-seven thousand, six hundred seventy-three".