106556772 has 36 divisors (see below), whose sum is σ = 289227120. Its totient is φ = 30444624.

The previous prime is 106556771. The next prime is 106556777. The reversal of 106556772 is 277655601.

It is a super-3 number, since 3×106556772³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 106556772.

It is not an unprimeable number, because it can be changed into a prime (106556771) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 90022 + ... + 91197.

Almost surely, 2^106556772 is an apocalyptic number.

106556772 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

106556772 is an abundant number, since it is smaller than the sum of its proper divisors (182670348).

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

106556772 is a wasteful number, since it uses less digits than its factorization.

106556772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181240 (or 181231 counting only the distinct ones).

The product of its (nonzero) digits is 88200, while the sum is 39.

The square root of 106556772 is about 10322.6339661929. The cubic root of 106556772 is about 474.0895164660.

The spelling of 106556772 in words is "one hundred six million, five hundred fifty-six thousand, seven hundred seventy-two".