106743104 has 84 divisors (see below), whose sum is σ = 234269280. Its totient is φ = 48222720.

The previous prime is 106743103. The next prime is 106743173. The reversal of 106743104 is 401347601.

It is a super-2 number, since 2×106743104² = 22788180503109632, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106743103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 767867 + ... + 768005.

It is an arithmetic number, because the mean of its divisors is an integer number (2788920).

Almost surely, 2^106743104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106743104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117134640).

106743104 is an abundant number, since it is smaller than the sum of its proper divisors (127526176).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

106743104 is a wasteful number, since it uses less digits than its factorization.

106743104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 26.

The square root of 106743104 is about 10331.6554336660. The cubic root of 106743104 is about 474.3656966495.

The spelling of 106743104 in words is "one hundred six million, seven hundred forty-three thousand, one hundred four".