100472661 has 12 divisors (see below), whose sum is σ = 145355340. Its totient is φ = 66876480.

The previous prime is 100472657. The next prime is 100472719. The reversal of 100472661 is 166274001.

It can be written as a sum of positive squares in 2 ways, for example, as 36072036 + 64400625 = 6006^2 + 8025^2 .

It is not a de Polignac number, because 100472661 - 2² = 100472657 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100472611) 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 11 ways as a sum of consecutive naturals, for example, 2496 + ... + 14393.

It is an arithmetic number, because the mean of its divisors is an integer number (12112945).

Almost surely, 2^100472661 is an apocalyptic number.

It is an amenable number.

100472661 is a deficient number, since it is larger than the sum of its proper divisors (44882679).

100472661 is a wasteful number, since it uses less digits than its factorization.

100472661 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17556 (or 17553 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 100472661 is about 10023.6051897508. The cubic root of 100472661 is about 464.8890335283.

The spelling of 100472661 in words is "one hundred million, four hundred seventy-two thousand, six hundred sixty-one".