100772107633 has 2 divisors, whose sum is σ = 100772107634. Its totient is φ = 100772107632.

The previous prime is 100772107571. The next prime is 100772107669. The reversal of 100772107633 is 336701277001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 100722447424 + 49660209 = 317368^2 + 7047^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100772107633 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100772107592 and 100772107601.

It is not a weakly prime, because it can be changed into another prime (100775107633) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50386053816 + 50386053817.

It is an arithmetic number, because the mean of its divisors is an integer number (50386053817).

Almost surely, 2^100772107633 is an apocalyptic number.

It is an amenable number.

100772107633 is a deficient number, since it is larger than the sum of its proper divisors (1).

100772107633 is an equidigital number, since it uses as much as digits as its factorization.

100772107633 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 37044, while the sum is 37.

The spelling of 100772107633 in words is "one hundred billion, seven hundred seventy-two million, one hundred seven thousand, six hundred thirty-three".