100218561 has 16 divisors (see below), whose sum is σ = 135892416. Its totient is φ = 65684736.

The previous prime is 100218551. The next prime is 100218581. The reversal of 100218561 is 165812001.

It is not a de Polignac number, because 100218561 - 2¹⁷ = 100087489 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100218541) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 96501 + ... + 97533.

It is an arithmetic number, because the mean of its divisors is an integer number (8493276).

Almost surely, 2^100218561 is an apocalyptic number.

It is an amenable number.

100218561 is a deficient number, since it is larger than the sum of its proper divisors (35673855).

100218561 is a wasteful number, since it uses less digits than its factorization.

100218561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1552.

The product of its (nonzero) digits is 480, while the sum is 24.

The square root of 100218561 is about 10010.9220854025. The cubic root of 100218561 is about 464.4967940661.

The spelling of 100218561 in words is "one hundred million, two hundred eighteen thousand, five hundred sixty-one".