100510561 has 8 divisors (see below), whose sum is σ = 102063464. Its totient is φ = 98962560.

The previous prime is 100510559. The next prime is 100510591. The reversal of 100510561 is 165015001.

It can be written as a sum of positive squares in 4 ways, for example, as 32547025 + 67963536 = 5705^2 + 8244^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 100510561 - 2¹ = 100510559 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100510541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 72091 + ... + 73471.

It is an arithmetic number, because the mean of its divisors is an integer number (12757933).

Almost surely, 2^100510561 is an apocalyptic number.

It is an amenable number.

100510561 is a deficient number, since it is larger than the sum of its proper divisors (1552903).

100510561 is an equidigital number, since it uses as much as digits as its factorization.

100510561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2451.

The product of its (nonzero) digits is 150, while the sum is 19.

The square root of 100510561 is about 10025.4955488494. The cubic root of 100510561 is about 464.9474808685.

Adding to 100510561 its reverse (165015001), we get a palindrome (265525562).

The spelling of 100510561 in words is "one hundred million, five hundred ten thousand, five hundred sixty-one".