100607561 has 2 divisors, whose sum is σ = 100607562. Its totient is φ = 100607560.

The previous prime is 100607519. The next prime is 100607569. The reversal of 100607561 is 165706001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 94575625 + 6031936 = 9725^2 + 2456^2 .

It is a cyclic number.

It is not a de Polignac number, because 100607561 - 2¹⁰ = 100606537 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 100607561.

It is not a weakly prime, because it can be changed into another prime (100607569) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50303780 + 50303781.

It is an arithmetic number, because the mean of its divisors is an integer number (50303781).

Almost surely, 2^100607561 is an apocalyptic number.

It is an amenable number.

100607561 is a deficient number, since it is larger than the sum of its proper divisors (1).

100607561 is an equidigital number, since it uses as much as digits as its factorization.

100607561 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1260, while the sum is 26.

The square root of 100607561 is about 10030.3320483422. The cubic root of 100607561 is about 465.0970021551.

The spelling of 100607561 in words is "one hundred million, six hundred seven thousand, five hundred sixty-one".