106125330 has 32 divisors (see below), whose sum is σ = 256048128. Its totient is φ = 28150400.

The previous prime is 106125319. The next prime is 106125337. The reversal of 106125330 is 33521601.

It is a super-2 number, since 2×106125330² = 22525171335217800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106125297 and 106125306.

It is not an unprimeable number, because it can be changed into a prime (106125337) 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, 3531 + ... + 14990.

It is an arithmetic number, because the mean of its divisors is an integer number (8001504).

Almost surely, 2^106125330 is an apocalyptic number.

106125330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

106125330 is an abundant number, since it is smaller than the sum of its proper divisors (149922798).

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

106125330 is a wasteful number, since it uses less digits than its factorization.

106125330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18722.

The product of its (nonzero) digits is 540, while the sum is 21.

The square root of 106125330 is about 10301.7149057815. The cubic root of 106125330 is about 473.4487975716.

Adding to 106125330 its reverse (33521601), we get a palindrome (139646931).

The spelling of 106125330 in words is "one hundred six million, one hundred twenty-five thousand, three hundred thirty".