100264561 has 8 divisors (see below), whose sum is σ = 103890024. Its totient is φ = 96687360.

The previous prime is 100264543. The next prime is 100264597. The reversal of 100264561 is 165462001.

It can be written as a sum of positive squares in 4 ways, for example, as 883600 + 99380961 = 940^2 + 9969^2 .

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100264561 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100264511) 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, 7810 + ... + 16171.

It is an arithmetic number, because the mean of its divisors is an integer number (12986253).

Almost surely, 2^100264561 is an apocalyptic number.

It is an amenable number.

100264561 is a deficient number, since it is larger than the sum of its proper divisors (3625463).

100264561 is a wasteful number, since it uses less digits than its factorization.

100264561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24131.

The product of its (nonzero) digits is 1440, while the sum is 25.

The square root of 100264561 is about 10013.2193124889. The cubic root of 100264561 is about 464.5678507115.

The spelling of 100264561 in words is "one hundred million, two hundred sixty-four thousand, five hundred sixty-one".