106137306 has 96 divisors (see below), whose sum is σ = 267883200. Its totient is φ = 30032640.

The previous prime is 106137293. The next prime is 106137331. The reversal of 106137306 is 603731601.

106137306 is a `hidden beast` number, since 10 + 613 + 7 + 30 + 6 = 666.

It is a super-2 number, since 2×106137306² = 22530255449875272, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106137306.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 334660 + ... + 334976.

It is an arithmetic number, because the mean of its divisors is an integer number (2790450).

Almost surely, 2^106137306 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106137306, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133941600).

106137306 is an abundant number, since it is smaller than the sum of its proper divisors (161745894).

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

106137306 is a wasteful number, since it uses less digits than its factorization.

106137306 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 444 (or 441 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 106137306 is about 10302.2961518295. The cubic root of 106137306 is about 473.4666061052.

Adding to 106137306 its reverse (603731601), we get a palindrome (709868907).

It can be divided in two parts, 10 and 6137306, that added together give a palindrome (6137316).

The spelling of 106137306 in words is "one hundred six million, one hundred thirty-seven thousand, three hundred six".