100945913 has 2 divisors, whose sum is σ = 100945914. Its totient is φ = 100945912.

The previous prime is 100945907. The next prime is 100945927. The reversal of 100945913 is 319549001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 98644624 + 2301289 = 9932^2 + 1517^2 .

It is an emirp because it is prime and its reverse (319549001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 100945913 - 2²⁰ = 99897337 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 100945913.

It is not a weakly prime, because it can be changed into another prime (100945903) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50472956 + 50472957.

It is an arithmetic number, because the mean of its divisors is an integer number (50472957).

Almost surely, 2^100945913 is an apocalyptic number.

It is an amenable number.

100945913 is a deficient number, since it is larger than the sum of its proper divisors (1).

100945913 is an equidigital number, since it uses as much as digits as its factorization.

100945913 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4860, while the sum is 32.

The square root of 100945913 is about 10047.1843319410. The cubic root of 100945913 is about 465.6178060117.

The spelling of 100945913 in words is "one hundred million, nine hundred forty-five thousand, nine hundred thirteen".