106743 has 32 divisors (see below), whose sum is σ = 193536. Its totient is φ = 50688.

The previous prime is 106739. The next prime is 106747. The reversal of 106743 is 347601.

It is an interprime number because it is at equal distance from previous prime (106739) and next prime (106747).

It is not a de Polignac number, because 106743 - 2² = 106739 is a prime.

It is a super-2 number, since 2×106743² = 22788136098, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106747) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4630 + ... + 4652.

It is an arithmetic number, because the mean of its divisors is an integer number (6048).

2¹⁰⁶⁷⁴³ is an apocalyptic number.

106743 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

106743 is a deficient number, since it is larger than the sum of its proper divisors (86793).

106743 is a wasteful number, since it uses less digits than its factorization.

106743 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63.

The product of its (nonzero) digits is 504, while the sum is 21.

The square root of 106743 is about 326.7154725445. The cubic root of 106743 is about 47.4365542591.

The spelling of 106743 in words is "one hundred six thousand, seven hundred forty-three".