106107330 has 64 divisors (see below), whose sum is σ = 294094080. Its totient is φ = 23998464.

The previous prime is 106107329. The next prime is 106107367. The reversal of 106107330 is 33701601.

It is a super-2 number, since 2×106107330² = 22517530959457800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 106107297 and 106107306.

It is an unprimeable number.

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, 17766 + ... + 22974.

It is an arithmetic number, because the mean of its divisors is an integer number (4595220).

Almost surely, 2^106107330 is an apocalyptic number.

106107330 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 106107330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147047040).

106107330 is an abundant number, since it is smaller than the sum of its proper divisors (187986750).

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

106107330 is a wasteful number, since it uses less digits than its factorization.

106107330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5323.

The product of its (nonzero) digits is 378, while the sum is 21.

The square root of 106107330 is about 10300.8412277833. The cubic root of 106107330 is about 473.4220287181.

Adding to 106107330 its reverse (33701601), we get a palindrome (139808931).

The spelling of 106107330 in words is "one hundred six million, one hundred seven thousand, three hundred thirty".