106126320 has 40 divisors (see below), whose sum is σ = 328992336. Its totient is φ = 28300288.

The previous prime is 106126313. The next prime is 106126337. The reversal of 106126320 is 23621601.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×106126320² = 22525591593484800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 220857 + ... + 221336.

Almost surely, 2^106126320 is an apocalyptic number.

106126320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106126320 is an abundant number, since it is smaller than the sum of its proper divisors (222866016).

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

106126320 is a wasteful number, since it uses less digits than its factorization.

106126320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 442209 (or 442203 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 106126320 is about 10301.7629559217. The cubic root of 106126320 is about 473.4502697707.

Adding to 106126320 its reverse (23621601), we get a palindrome (129747921).

The spelling of 106126320 in words is "one hundred six million, one hundred twenty-six thousand, three hundred twenty".