106367140 has 48 divisors (see below), whose sum is σ = 246141504. Its totient is φ = 38288000.

The previous prime is 106367089. The next prime is 106367141. The reversal of 106367140 is 41763601.

106367140 = 435² + 436² + ... + 737².

It is a super-2 number, since 2×106367140² = 22627936943559200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106367099 and 106367108.

It is not an unprimeable number, because it can be changed into a prime (106367141) 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 15 ways as a sum of consecutive naturals, for example, 19827 + ... + 24613.

It is an arithmetic number, because the mean of its divisors is an integer number (5127948).

Almost surely, 2^106367140 is an apocalyptic number.

106367140 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 106367140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123070752).

106367140 is an abundant number, since it is smaller than the sum of its proper divisors (139774364).

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

106367140 is a wasteful number, since it uses less digits than its factorization.

106367140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4908 (or 4906 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 28.

The square root of 106367140 is about 10313.4446234030. Note that the first 3 decimals coincide. The cubic root of 106367140 is about 473.8081142754.

The spelling of 106367140 in words is "one hundred six million, three hundred sixty-seven thousand, one hundred forty".