106957530 has 64 divisors (see below), whose sum is σ = 288489600. Its totient is φ = 28195200.

The previous prime is 106957451. The next prime is 106957531. The reversal of 106957530 is 35759601.

It is a happy number.

106957530 is a `hidden beast` number, since 10 + 69 + 57 + 530 = 666.

It is a super-2 number, since 2×106957530² = 22879826447401800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106957531) 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 31 ways as a sum of consecutive naturals, for example, 21805 + ... + 26255.

It is an arithmetic number, because the mean of its divisors is an integer number (4507650).

Almost surely, 2^106957530 is an apocalyptic number.

106957530 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 106957530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144244800).

106957530 is an abundant number, since it is smaller than the sum of its proper divisors (181532070).

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

106957530 is a wasteful number, since it uses less digits than its factorization.

106957530 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4556 (or 4550 counting only the distinct ones).

The product of its (nonzero) digits is 28350, while the sum is 36.

The square root of 106957530 is about 10342.0273641100. The cubic root of 106957530 is about 474.6831201382.

It can be divided in two parts, 10695 and 7530, that added together give a square (18225 = 135²).

The spelling of 106957530 in words is "one hundred six million, nine hundred fifty-seven thousand, five hundred thirty".