106807743 has 48 divisors (see below), whose sum is σ = 182856960. Its totient is φ = 58810752.

The previous prime is 106807733. The next prime is 106807751. The reversal of 106807743 is 347708601.

It is not a de Polignac number, because 106807743 - 2⁵ = 106807711 is a prime.

It is a super-2 number, since 2×106807743² = 22815787929508098, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106807698 and 106807707.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106807703) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 240880 + ... + 241322.

It is an arithmetic number, because the mean of its divisors is an integer number (3809520).

Almost surely, 2^106807743 is an apocalyptic number.

106807743 is a deficient number, since it is larger than the sum of its proper divisors (76049217).

106807743 is a wasteful number, since it uses less digits than its factorization.

106807743 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 588 (or 585 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 106807743 is about 10334.7831617311. The cubic root of 106807743 is about 474.4614291009.

The spelling of 106807743 in words is "one hundred six million, eight hundred seven thousand, seven hundred forty-three".