101464101 has 24 divisors (see below), whose sum is σ = 153387000. Its totient is φ = 64561536.

The previous prime is 101464093. The next prime is 101464151.

101464101 is a `hidden beast` number, since 10 + 14 + 641 + 0 + 1 = 666.

101464101 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 15920100 + 85544001 = 3990^2 + 9249^2 .

It is not a de Polignac number, because 101464101 - 2³ = 101464093 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 (101464151) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14775 + ... + 20523.

It is an arithmetic number, because the mean of its divisors is an integer number (6391125).

Almost surely, 2^101464101 is an apocalyptic number.

It is an amenable number.

101464101 is a deficient number, since it is larger than the sum of its proper divisors (51922899).

101464101 is a wasteful number, since it uses less digits than its factorization.

101464101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5845 (or 5842 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 101464101 is about 10072.9390447873. The cubic root of 101464101 is about 466.4131688417.

The spelling of 101464101 in words is "one hundred one million, four hundred sixty-four thousand, one hundred one".