106213440 has 224 divisors, whose sum is σ = 360493056. Its totient is φ = 26449920.

The previous prime is 106213369. The next prime is 106213441. The reversal of 106213440 is 44312601.

It is a super-2 number, since 2×106213440² = 22562589673267200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106213441) 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, 1279639 + ... + 1279721.

It is an arithmetic number, because the mean of its divisors is an integer number (1609344).

Almost surely, 2^106213440 is an apocalyptic number.

106213440 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 106213440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180246528).

106213440 is an abundant number, since it is smaller than the sum of its proper divisors (254279616).

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

106213440 is a wasteful number, since it uses less digits than its factorization.

106213440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 106213440 is about 10305.9904909717. The cubic root of 106213440 is about 473.5797874561.

The spelling of 106213440 in words is "one hundred six million, two hundred thirteen thousand, four hundred forty".