100572673 has 2 divisors, whose sum is σ = 100572674. Its totient is φ = 100572672.

The previous prime is 100572671. The next prime is 100572679. The reversal of 100572673 is 376275001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 96275344 + 4297329 = 9812^2 + 2073^2 .

It is a cyclic number.

It is not a de Polignac number, because 100572673 - 2¹ = 100572671 is a prime.

It is a super-2 number, since 2×100572673² = 20229725108729858, which contains 22 as substring.

Together with 100572671, it forms a pair of twin primes.

It is equal to p_5792530 and since 100572673 and 5792530 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (100572671) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50286336 + 50286337.

It is an arithmetic number, because the mean of its divisors is an integer number (50286337).

Almost surely, 2^100572673 is an apocalyptic number.

It is an amenable number.

100572673 is a deficient number, since it is larger than the sum of its proper divisors (1).

100572673 is an equidigital number, since it uses as much as digits as its factorization.

100572673 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8820, while the sum is 31.

The square root of 100572673 is about 10028.5927726676. The cubic root of 100572673 is about 465.0432348901.

The spelling of 100572673 in words is "one hundred million, five hundred seventy-two thousand, six hundred seventy-three".