100072673146507 has 2 divisors, whose sum is σ = 100072673146508. Its totient is φ = 100072673146506.

The previous prime is 100072673146493. The next prime is 100072673146519. The reversal of 100072673146507 is 705641376270001.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100072673146507 is a prime.

It is not a weakly prime, because it can be changed into another prime (100072673146547) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50036336573253 + 50036336573254.

It is an arithmetic number, because the mean of its divisors is an integer number (50036336573254).

Almost surely, 2^{100072673146507} is an apocalyptic number.

100072673146507 is a deficient number, since it is larger than the sum of its proper divisors (1).

100072673146507 is an equidigital number, since it uses as much as digits as its factorization.

100072673146507 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1481760, while the sum is 49.

The spelling of 100072673146507 in words is "one hundred trillion, seventy-two billion, six hundred seventy-three million, one hundred forty-six thousand, five hundred seven".