100072949 has 2 divisors, whose sum is σ = 100072950. Its totient is φ = 100072948.

The previous prime is 100072919. The next prime is 100072961. The reversal of 100072949 is 949270001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 93219025 + 6853924 = 9655^2 + 2618^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100072949 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100072919) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50036474 + 50036475.

It is an arithmetic number, because the mean of its divisors is an integer number (50036475).

Almost surely, 2^100072949 is an apocalyptic number.

It is an amenable number.

100072949 is a deficient number, since it is larger than the sum of its proper divisors (1).

100072949 is an equidigital number, since it uses as much as digits as its factorization.

100072949 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4536, while the sum is 32.

The square root of 100072949 is about 10003.6467850479. The cubic root of 100072949 is about 464.2717223487.

The spelling of 100072949 in words is "one hundred million, seventy-two thousand, nine hundred forty-nine".