100464101 has 8 divisors (see below), whose sum is σ = 107351640. Its totient is φ = 93685248.

The previous prime is 100464083. The next prime is 100464131. The reversal of 100464101 is 101464001.

It can be written as a sum of positive squares in 4 ways, for example, as 16008001 + 84456100 = 4001^2 + 9190^2 .

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 100464101 - 2¹⁴ = 100447717 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 100464101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100464131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25256 + ... + 28961.

It is an arithmetic number, because the mean of its divisors is an integer number (13418955).

Almost surely, 2^100464101 is an apocalyptic number.

It is an amenable number.

100464101 is a deficient number, since it is larger than the sum of its proper divisors (6887539).

100464101 is a wasteful number, since it uses less digits than its factorization.

100464101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54343.

The product of its (nonzero) digits is 96, while the sum is 17.

The square root of 100464101 is about 10023.1781885787. The cubic root of 100464101 is about 464.8758307223.

The spelling of 100464101 in words is "one hundred million, four hundred sixty-four thousand, one hundred one".