106244400 has 240 divisors, whose sum is σ = 365333760. Its totient is φ = 26342400.

The previous prime is 106244389. The next prime is 106244401. The reversal of 106244400 is 4442601.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×106244400² = 22575745062720000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106244401) 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 47 ways as a sum of consecutive naturals, for example, 1496365 + ... + 1496435.

It is an arithmetic number, because the mean of its divisors is an integer number (1522224).

Almost surely, 2^106244400 is an apocalyptic number.

106244400 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 106244400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182666880).

106244400 is an abundant number, since it is smaller than the sum of its proper divisors (259089360).

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

106244400 is a wasteful number, since it uses less digits than its factorization.

106244400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 106244400 is about 10307.4924205648. The cubic root of 106244400 is about 473.6257973454.

The spelling of 106244400 in words is "one hundred six million, two hundred forty-four thousand, four hundred".