46101 has 12 divisors (see below), whose sum is σ = 68096. Its totient is φ = 27720.

The previous prime is 46099. The next prime is 46103. The reversal of 46101 is 10164.

46101 = T₈₆ + T₈₇ + ... + T₉₆.

It is an interprime number because it is at equal distance from previous prime (46099) and next prime (46103).

It is not a de Polignac number, because 46101 - 2¹ = 46099 is a prime.

It is a Duffinian number.

It is a Curzon number.

46101 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 300 + ... + 426.

2⁴⁶¹⁰¹ is an apocalyptic number.

It is an amenable number.

46101 is a deficient number, since it is larger than the sum of its proper divisors (21995).

46101 is a wasteful number, since it uses less digits than its factorization.

46101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 46101 is about 214.7114342554. The cubic root of 46101 is about 35.8566832969.

Adding to 46101 its reverse (10164), we get a palindrome (56265).

Subtracting from 46101 its reverse (10164), we obtain a cube (35937 = 33³).

It can be divided in two parts, 4 and 6101, that added together give a triangular number (6105 = T₁₁₀).

The spelling of 46101 in words is "forty-six thousand, one hundred one".