106823040 has 256 divisors, whose sum is σ = 370137600. Its totient is φ = 26132480.

The previous prime is 106823039. The next prime is 106823047. The reversal of 106823040 is 40328601.

It is a happy number.

It is a super-2 number, since 2×106823040² = 22822323749683200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 106823040.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106823047) 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, 1810531 + ... + 1810589.

It is an arithmetic number, because the mean of its divisors is an integer number (1445850).

Almost surely, 2^106823040 is an apocalyptic number.

106823040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106823040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185068800).

106823040 is an abundant number, since it is smaller than the sum of its proper divisors (263314560).

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

106823040 is a wasteful number, since it uses less digits than its factorization.

106823040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 106823040 is about 10335.5232088172. The cubic root of 106823040 is about 474.4840788010.

The spelling of 106823040 in words is "one hundred six million, eight hundred twenty-three thousand, forty".