106513 has 8 divisors (see below), whose sum is σ = 121536. Its totient is φ = 92400.

The previous prime is 106501. The next prime is 106531. The reversal of 106513 is 315601.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 106513 - 2¹³ = 98321 is a prime.

It is a super-2 number, since 2×106513² = 22690038338, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (106543) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 43 + ... + 463.

It is an arithmetic number, because the mean of its divisors is an integer number (15192).

2¹⁰⁶⁵¹³ is an apocalyptic number.

It is an amenable number.

106513 is a deficient number, since it is larger than the sum of its proper divisors (15023).

106513 is a wasteful number, since it uses less digits than its factorization.

106513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 455.

The product of its (nonzero) digits is 90, while the sum is 16.

The square root of 106513 is about 326.3632945048. The cubic root of 106513 is about 47.4024591174.

The spelling of 106513 in words is "one hundred six thousand, five hundred thirteen".