106385407 has 4 divisors (see below), whose sum is σ = 106799616. Its totient is φ = 105971200.

The previous prime is 106385401. The next prime is 106385413. The reversal of 106385407 is 704583601.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 704583601 = 149 ⋅4728749.

It is an interprime number because it is at equal distance from previous prime (106385401) and next prime (106385413).

It is a cyclic number.

It is not a de Polignac number, because 106385407 - 2²³ = 97996799 is a prime.

It is a super-4 number, since 4×106385407⁴ (a number of 33 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106385401) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 206719 + ... + 207232.

It is an arithmetic number, because the mean of its divisors is an integer number (26699904).

Almost surely, 2^106385407 is an apocalyptic number.

106385407 is a deficient number, since it is larger than the sum of its proper divisors (414209).

106385407 is an equidigital number, since it uses as much as digits as its factorization.

106385407 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 414208.

The product of its (nonzero) digits is 20160, while the sum is 34.

The square root of 106385407 is about 10314.3301769916. The cubic root of 106385407 is about 473.8352359266.

The spelling of 106385407 in words is "one hundred six million, three hundred eighty-five thousand, four hundred seven".