10772106 has 16 divisors (see below), whose sum is σ = 22126944. Its totient is φ = 3493584.

The previous prime is 10772093. The next prime is 10772129. The reversal of 10772106 is 60127701.

It is a Curzon number.

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 7 ways as a sum of consecutive naturals, for example, 24040 + ... + 24483.

It is an arithmetic number, because the mean of its divisors is an integer number (1382934).

Almost surely, 2^10772106 is an apocalyptic number.

10772106 is an abundant number, since it is smaller than the sum of its proper divisors (11354838).

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

10772106 is a wasteful number, since it uses less digits than its factorization.

10772106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48565.

The product of its (nonzero) digits is 588, while the sum is 24.

The square root of 10772106 is about 3282.0886642503. The cubic root of 10772106 is about 220.8514251544.

Adding to 10772106 its reverse (60127701), we get a palindrome (70899807).

It can be divided in two parts, 10772 and 106, that added together give a triangular number (10878 = T₁₄₇).

The spelling of 10772106 in words is "ten million, seven hundred seventy-two thousand, one hundred six".