106128813 has 16 divisors (see below), whose sum is σ = 170232320. Its totient is φ = 57452976.

The previous prime is 106128797. The next prime is 106128821. The reversal of 106128813 is 318821601.

It is not a de Polignac number, because 106128813 - 2⁴ = 106128797 is a prime.

It is a super-2 number, since 2×106128813² = 22526649897577938, which contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106128823) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 132595 + ... + 133392.

It is an arithmetic number, because the mean of its divisors is an integer number (10639520).

Almost surely, 2^106128813 is an apocalyptic number.

It is an amenable number.

106128813 is a deficient number, since it is larger than the sum of its proper divisors (64103507).

106128813 is a wasteful number, since it uses less digits than its factorization.

106128813 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266016.

The product of its (nonzero) digits is 2304, while the sum is 30.

The square root of 106128813 is about 10301.8839539183. The cubic root of 106128813 is about 473.4539769952.

The spelling of 106128813 in words is "one hundred six million, one hundred twenty-eight thousand, eight hundred thirteen".